Question 647919

my college grad parents have failed me on this:

(x-1)2 - (x+1)2=4

solve for x


{{{(x - 1)^2 - (x + 1)^2 = 4}}}


{{{x^2 - 2x + 1 - (x^2 + 2x + 1) = 4}}} ----- FOILing the binomials


{{{x^2 - 2x + 1 - x^2 - 2x - 1 = 4}}} ----- Distributing


{{{x^2 - x^2 - 2x - 2x + 1 - 1 = 4}}} ------ Collecting like-terms


{{{- 4x = 4}}}


x = {{{4/- 4}}}, or {{{highlight_green(x = - 1)}}}


You can do the check!!!


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