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

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Please help me solve this equation: {{{(y-7)^2=(y+5)^2}}}      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 196508This question is from textbook GCSE Maths Higher
: Please help me solve this equation: %28y-7%29%5E2=%28y%2B5%29%5E2This question is from textbook GCSE Maths Higher

Answer by ankor@dixie-net.com(15645) 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