SOLUTION: the sum of the squares of two consecutive odd positive integers is 394. find the integers

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Question 817146: the sum of the squares of two consecutive odd positive integers is 394. find the integers
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x & x+2
x^2+(x+2)^2=394
x^2+x^2+4x+4=394
2x^2+4x-390=0
/2
x^2+2x-195=0
x^2+2x+1-1-195=0
(x+1)^2=196
take the square root
x+1= +/- 14
x=13 & 15
x=-15,-13