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One integer is 5 less than another. The sum of their squares is 157. Find the integers.

 Jul 30, 2020
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Integers    x     and    x-5

 

x^2    + ( x-5)^2 = 157

x^2    + x^2-10x+25 = 157

2x^2 -10x -132 =0               Quadratic FOrmula   x = 11   and   -6  so the other integer is  6  or  -11

 

11 and  6            -6   and -11

 Jul 30, 2020

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