SOLUTION: solve fox x (x-a)^2 = (x-b)^2

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Question 857562: solve fox x
(x-a)^2 = (x-b)^2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-2ax%2Ba%5E2=x%5E2-2bx%2Bb%5E2
-2ax%2Ba%5E2=-2bx%2Bb%5E2
-2bx%2Bb%5E2=-2ax%2Ba%5E2 -------Symmetric Property
2ax-2bx%2Bb%5E2=a%5E2
2ax-2bx=a%5E2-b%5E2
x%2A%282a-2b%29=a%5E2-b%5E2
x=%28a%5E2-b%5E2%29%2F%282a-2b%29----which is factorable and simplifiable
x=%28%28a-b%29%28a%2Bb%29%29%2F%282%28a-b%29%29
highlight%28x=%28a%2Bb%29%2F2%29