Mathematics Middle School

The sum of the squares of three consecutive integer numbers is 1454. Find the numbers. I have already found 21 22 23 but the question says that there are 2 possibilities. please help!!!!!!

Answers

Answer 1

Answer:

three consecutive integers

Let x,(x+1),(x+2) represent the three consecutive integers

Question states

x^2 +(x+1)^2+(x+2)^2 = 110

Solving for x

3x^2 + 6x  + 5 = 110

3x^2 + 6x  -105 = 0

3(x^2 + 2x - 35)  = 0

 (x^2 + 2x - 35)  = 0  

factoring

 (x+7)(x-5) = 0 Note: SUM of the inner product(7x) and the outer product(-5x) = 2x

 (x+7)=0  |x = -7  The three consecutive integers are -5,-6,-7

 (x-5)=0  |x = 5   The three consecutive integers are 5,6,7

25 + 36 + 49 = 110  

Answer 2

The three consecutive integer numbers are 21, 22 and 23

Let the 3consecutive integers be x-1, x and x+1

Taking the sum of the squares

(x-1)²+x² + (x+1)² = 1454

x²-2x+1+x²+x²+2x+1 = 1454

3x²+2 = 1454

3x²= 1452

x² = 484

x = 22

First number is x - 1 = 22 - 1 = 21

second number is x = 22

Third number is x+ 1= 22+ 1 = 23

Hence the three consecutive integer numbers are 21, 22 and 23

Learn more here: https://brainly.com/question/24272171

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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135

Step-by-step explanation:

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Is the statement true? explain
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Answers

The equation is not true because
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Hope it helps!
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Answer:

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Step-by-step explanation:

What’s 1000+2000+3000+4000+5000+600+70+80+9+69+12+35,574=
The best answers get brainliest

Answers

Answer:

51414

Step-by-step explanation:

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3000+4000 = 7000

5000+600+70 = 5670

3000 + 5670 = 8670

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80+9+69+12+35,574= 35744

35744 + 15,670 = 51414

Answer:

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I need help plz!!!!!!!!!!!!

Answers

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these should all be correct^^!

just type exactly the problem, into a calculator!
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Answers

The 10 Common Positive Emotions:

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Answers

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Step-by-step explanation:

Answer:

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Answer:

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Answers

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Step-by-step explanation:

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Answers

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