SOLUTION: Please help me solve this equation: {{{(y-7)^2=(y+5)^2}}}

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Question 196508This question is from textbook GCSE Maths Higher
: Please help me solve this equation: %28y-7%29%5E2=%28y%2B5%29%5E2 This question is from textbook GCSE Maths Higher

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28y-7%29%5E2=%28y%2B5%29%5E2
FOIL
y%5E2+-+14y+%2B49++=+y%5E2+%2B+10y+%2B+25
Combine the y's on the left, numerical values on the right
y^2 - y^2 - 14y - 10y = 25 - 49
:
-24y = -24
:
y = +1
;
:
Is this true? check in original equation
%281-7%29%5E2=%281%2B5%29%5E2
36 = 36