find two consecutive natural no. ,the sum of whose squares is 313
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HOMEWORK HELP > MATH
The sum of square of two consiquative natural number is 313.find the number?
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BAXTHUM8 | CERTIFIED EDUCATOR
Let 1 number be  . Since the numbers are consecutive, the other number would be 
Square both and add together to equal 313.






Since the number are defined to be natural, x = -13 is not a solution.
Therefore,  , and .
The two numbers are 12 and 13.

HOMEWORK HELP > MATH
The sum of square of two consiquative natural number is 313.find the number?
print Print
document PDF
list Cite
EXPERT ANSWERS
BAXTHUM8 | CERTIFIED EDUCATOR
Let 1 number be  . Since the numbers are consecutive, the other number would be 
Square both and add together to equal 313.






Since the number are defined to be natural, x = -13 is not a solution.
Therefore,  , and .
The two numbers are 12 and 13.

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x ² + ( x + 1 ) ² = 313
x ² + x ² + 2x + 1 = 313
2x ² + 2x - 312 = 0
x ² + x - 156 = 0
( x + 13 ) ( x - 12 ) = 0
x = - 13 , x = 12
12 and 13 are suitable answers
x ² + x ² + 2x + 1 = 313
2x ² + 2x - 312 = 0
x ² + x - 156 = 0
( x + 13 ) ( x - 12 ) = 0
x = - 13 , x = 12
12 and 13 are suitable answers
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