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Question 297948: i have no idea what im doing the equation is (x-6)(x+6)=x2-36 how do i solve it
Answer by alanc(27)   (Show Source):
You can put this solution on YOUR website! We have (x-6)*(x+6) = x*x - 36 . I would say x is all real numbers because this equation is simply an identity equation. (x-6)*(x+6) is equal to x*x - 36. We are dealing with a difference of squares.
let me expand it more slowly: (x-6)*(x+6) = x*x + 6x - 6x + (-6)*6 = x*x - 36
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However if your notation x2 really meant x times 2 instead of x squared, then x has a finite set of solutions.
Let's assume (x-6)(x+6) = 2*x -36, then we have
x*x - 36 = 2x - 36
add 36 to both sides to cancel and we have:
x*x = 2x
x = 0 or x = 2
Sincerely Alan C.
CSU Math Graduate 07
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