SOLUTION: the square of the sum of two numbers is 20 more than the square of their difference. one of the numbers is one what is the other number?

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Question 518375: the square of the sum of two numbers is 20 more than the square of their difference. one of the numbers is one what is the other number?
Answer by valentity(6) About Me  (Show Source):
You can put this solution on YOUR website!
let the nos be x and y. Then
(x+y)**2=20+(x-y)**2
let y=1 then (x+1)**2=20+(x-1)**2
x**2+2x+1=20+x**2-2x+1
4x=20 hence x=5