how can you solve quadratic equation in one variable using factoring method?

Answers

Answer 1
Take a quadratic equation in standard form:
If there exists a sum of two numbers that equal b, whose addends produce a product that equals c, you can rewrite the quadratic as a product of two binomials.

For example, take .
When thought through thoroughly, -5 has addends -2 and -3 that produce 6 when multiplied.
Thus, we can rewrite the quadratic as.

I hope this helps! You can ask for clarifications if needed. :)
Answer 2

The steps are;

look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²Factor the common value from both brackets and get the required variable

Let us assume the quadratic equation x² - 2x + 1 = 0

To solve this by factoring;

Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²

For the given equation, the two values are -1 and -1

The quadratic equation becomes;

x² - 1x - 1x + 1 = 0

x² - x - x + 1 = 0

(x²-x)-1(x-1) = 0

Step  2: Factorize the common value from both brackets

x(x-1)-1(x-1) = 0

x-1 = 0 and x - 1 = 0

x = 1twice

The given steps are the ways you can solve quadratic equations in one variable using factoring method

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Related Questions

Can you guys help me with this, it's due today

Answers

Answer:

i think its D

Step-by-step explanation:

Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?

Answers

Answer:

a) $165

b) $4180

Step-by-step explanation:

15×11=165

4,345-165=4180

a) The sum of these monthly payments is $165

b) Chris pay in the last month of this plan is $4180

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

For example

Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Price for furniture set = $4,345

a) The sum of these monthly payments

=15×11

=$165

b) Chris pay in the last month of this plan

=4,345-165

= $4180

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the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)

Answers

It would be 3,321. 2040 times 1.35 equals 3,321.

2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.

Answers

Answer:

d. grams per cubic centimeter

Step-by-step explanation:

The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.

This is due today and I don’t really get it so I need some help!

Answers

I'm not sure if you dont know maybe put C

The graph below shows how much money you have in savings each week. Use
this graph to answer questions (a – g).
a. According to the graph how much money did you start with in your savings?
b. How much money will you have after 5 weeks of saving?

Answers

Answer:

Step-by-step explanation:

a). Since starting point of the line is (0, 50),

    Therefore, I started with the saving of $50.

b). Since endpoint of the segment is (5, 175),

    Money with me after 5 weeks will be $175.

c). Let the equation of the line given in the graph is,

    y - y' = m(x - x')

    Where (x', y') is a point lying on the graph.

    And 'm' is the slope of the line.

    Slope of the line = [tex]\frac{175-50}{5-0}[/tex]

                             m = [tex]\frac{125}{5}[/tex]

                             m = 25

     Since, the line passes through (0, 50),

     y - 50 = 25(x - 0)

     y = 25x + 50

     y = 25x + 50

     For x = 6,

     y = 25×6 + 50 = 200

     For x = 7,

     y = 25×7 + 50 = 225

     For x = 8,

     y = 25×8 + 50 =250

d). For x = 10 weeks,

    y = 25×10 + 50 = $300

e). For x = 15 weeks

     y = 25×15 + 50 = $425

f). For x = 50 weeks,

     y = 25×50 + 50 = $1300

g). Equation of the line is,

     y = 25x + 50

simplify m+{n-[p+q-(m-n+p-q)]}​

Answers

Answer:

m+n-p-q+m-n+p-q = 2m-2q

Which of the following equations are true about the following parallelogram?

Answers

Answer:

A, B, E

Step-by-step explanation:

A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.

B is true since opposite angles of a parallelogram are congruent.

C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.

D is false for the same reason as choice C.

E is true since x = 20 is the solution of the equations in choices A and B.

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.



If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?

Group of answer choices



A. s + h =40

18s +14h = 700

B. 18s +14h =40

s + h =700

C. 40s + h +700

18s + 14h = 700

D. No answer text provided.

Answers

Answer:

               A.       s + h = 40                        18s + 14h = 700

Step-by-step explanation:

club sold 40 scarves and hats so the sum of scarves and hats is 40

s + h = 40       - one of equations

They charged $18 for each scarf and $14 for each hat so:

18×s   - money made from scarves

14×h   - money made from hats

18s + 14h  - sum of money made from scarves and hats so:

18s + 14h = 700      - second of equatinons

                                       

The system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.

If s represents the number of scarves sold and h represents the number of hats sold.

The system of equations is as follows,

s + h =40

18s +14h = 700

Thus,the system of equations represents the constraints of the situation are   s + h = 40 and 18s + 14h = 700.Option A is correct.

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Solve the equation below. 3/2x – 5 = 7

Answers

Answer:

x = 8

Step-by-step explanation:

Add 5 to each side, so it now looks like this: [tex]\frac{3}{2}x = 12[/tex]  Divide each side by 3/2, so it now looks like this: x = 8

I hope this helps!

Exact form: 1/8

Decimal form: 0.125

Hope this helps !

Can you guys help with this one?

Answers

The scale of enlargement is 2. This is because the side of the triangle of the right is twice as large as the size of the same side on the triangle on the left.
The length of PR would be 14. This is because since you’re doubling the size of the sides, the new length will be 7x2.
Hope this helps :)

Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

Answers

Answer:

She can buy a maximum number of 15 containers

Step-by-step explanation:

We are told from the question that:

Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.

Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?

Let x represent the number of Can of tulips for both tulips and lilies

x ≥ 5 cans for both tulips and lilies

$6 × x + $4 × x = $75

6x + 4x = 75

10x = 75

x = 75/10

x = 7.5 cans

This means , 7.5 containers for tulips and 7.5 containers for lilies

Adding up both containers, we have :

7.5 + 7.5 = 15 containers

Therefore, the greatest number of containers she can buy is 15 containers

At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?

Answers

Answer:24 dogs

Step-by-step explanation:8x3

Which expression is equivalent to (f9)(5)?

Answers

Answer:

i think it would be fx9x5

Step-by-step explanation:

sorry if its not write

Complete the following to check your understanding.
Question 1
What is the "friendliest" fraction to use when estimating 52% of 120?

Answers

52/100=x/120 is the proportion to figure out 52% of 120

Which of the following represents a possible combination of books that Derek can buy?

A. (-2, 15)

B. (0, 10)

C. (2, 5)

D. (3, 5/2)

Answers

It is most likely C if I am looking at it in need more information but if it is not C it is B

HELP ASAP WILL GIVE BRAINLIEST Find x. Give reasons to justify your solution.

Lines AB and CD are straight lines.

Link to image https://homework.russianschool.com/resource?key=17610ip7xq552

Answers

Answer:

385

Step-by-step explanation:

Answer:

The lines are straight the lines are at a 385 angle

Step-by-step explanation:

The reason they are straight lines is they are at a perfectly straight not curving to the side or bending like E and F how they have a 45 dgree angle I assume.

I not really sure if its right but umm if I am I hope this helps you out.

Why do most student loans involve a co-signer?
a.
Most students won’t be able to afford paying for their loans, and leave that responsibility to their co-signers.
b.
Co-signers were most likely college students themselves and understand what it is like to be a college student.
c.
Most students aren’t responsible enough to know much about any type of loans, so a co-signer is there to make sure everything is secure.
d.
Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

Answers

The answer is D. Most students are young enough not to have much of a credit score or credit history...

The correct statement is Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

What is loan?

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, etc.

Students need cosigners in order to qualify for a student loan or student loan refinance. This is because many students don't have an extensive credit history of their own. The other person cosigns the loan application so that the lender will consider their credit and income as well as yours.

Hence, Most students are young enough not to have much of a credit score or credit history, so a second party such as a parent or guardian can establish security of payment.

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what is the measure abe

Answers

Answer:

angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees

Step-by-step explanation:

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f(x) 60 - 1.5x.

Answers

No hablo inglés podes traducirlo porfa para ayudarte

a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have

Answers

Answer:

$1 bills = x and $5 bills = y

x+y = 17 - that expresses the number of bills.

1x + 5y = 53.

Solve the first for x in terms of y and substitute that into the second.

x = 17 - y

17 - y + 5y =53

17 +4y = 53

4y = 36

y = 9

Substitute that back into the first equation: x + 9 = 17 and then x = 8

what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?

someone help ASAP

Answers

Answer:

92 1/15

Step-by-step explanation:

74=19=92

3/5 and 2/5

3times 5 is 15

denominator is 15

9-10=1

92 1/15

Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?

Answers

The one in parentheses.

Solve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the function C(x)=0.8x + 40,000. Find C(50,000), the cost of producing 50,000
jars.
A) $40.80
B) $80,000 C)$50,040
D) $40,000

Answers

Answer: 80,000

Step-by-step explanation:

Plug in 50,000 where the x are and then just solve from there

Rewrite in simplest terms 9v-8(10v-9)

Answers

Answer:

-71v+72

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Answer:

9v-8.(10v-9)

result:72-71v

what is x ^ 2 × x^-12​

Answers

Answer:

1/x^10

Step-by-step explanation:

hope that helps:)

The answer is 1 / x^10

Hope this helped :)

Can somebody help please?
Also there are 10 people :3

Answers

Answer:

12

Step-by-step explanation:

adding them altogether

Please answer this i have 3 minutes left before its due

Answers

Answer:

Step-by-step explanation:

Y=-1/7x-30/7

Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.

Original division problem: 3/5 divided by 5/8

Step 1: 3/5• 8/5
Step 2: 3•8
5•5
Step 3: 24/5
Step 4: 4 4/5

Please help fast :)

Answers

Answer:

step two

Step-by-step explanation:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250

Answers

65+28H≤250

Step-by-step explanation:

Anand can afford at most 6 hours.

Step-by-step explanation:

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