Mathematics High School

Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.

No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution

Answers

Answer 1

The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2

How to solve the rational expression?

The expression is given as:

[tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex]

Cross multiply

[tex]x(x - 2) =2 * x^2[/tex]

Open the bracket

[tex]x^2 - 2x =2x^2[/tex]

Collect like terms

[tex]- 2x =2x^2 - x^2[/tex]

Evaluate the like terms

[tex]- 2x =x^2[/tex]

Rewrite as:

[tex]x^2 + 2x =0[/tex]

Factor out x

x(x + 2)  =0

Expand

x = 0 or x + 2 = 0

Solve for x

x = 0 or x = -2

Hence, the value of x are x = 0 and x = -2

Read more about equations at:

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Answers

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

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Answer:

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3
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undefined

Answers

Answer:

undefined

Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

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Answers

Answer:

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Step-by-step explanation:

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Compare -|56| to -56

Answers

Answer:

These are equal!

Step-by-step explanation:

The lines mean a number is opposite. So -56 is equal to -56.

-56=-56

Hope this helps and have a nice day!

They are both ALWAYS -56. For example if it was -|-56|, |-56| would come out as an positive 56, which would still give you a negative 56.

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Answers

Answer:

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Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

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Answer:

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Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

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48/12 = 12x / 12

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

By definition, we will see that y is a binomial variable.

Here the variable "y" represents:

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Step-by-step explanation:

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Step-by-step explanation:

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