# SOLUTION: Chris says, I am thinking of two positive integers that have a difference of 8 and the sum of their squares is 610." Algebraically determine the integers that Chris is thinking of.

Algebra ->  Algebra  -> Problems-with-consecutive-odd-even-integers -> SOLUTION: Chris says, I am thinking of two positive integers that have a difference of 8 and the sum of their squares is 610." Algebraically determine the integers that Chris is thinking of.      Log On

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 Click here to see ALL problems on Problems-with-consecutive-odd-even-integers Question 606961: Chris says, I am thinking of two positive integers that have a difference of 8 and the sum of their squares is 610." Algebraically determine the integers that Chris is thinking of.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!if one integer is x the other will be x-8 x^2+(x-8)^2=610 x^2+x^2-16x+64=610 2x^2-16x=546 /2 x^2-8x=273 x^2-8x-273=0 x^2-21x+13x-273=0 x(x-21)+13(x-21)=0 (x-21)(x+13)=0 x=21 OR -13 The integers are positive so the numbers are 21 & 13