How to solve for x?

Question

#(x+1)^2 + (x-1)^2 = 3^2#

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Answer 1 · 2018-02-06T05:40:54

#color(green)(x = +- sqrt(7/2) = sqrt(7/2), - sqrt(7/2))#

First expand the individual terms

#x^2 + 2x + 1 + x^2 - 2x + 1 = 9#

Rearranging like terms together,

#x^2 + x^2 + cancel(2x) - cancel(2x) =cancel(-1 - 1) + cancel(9)^7 #

#2x^2 = 7#

#x^2 = 7/2#

#color(green)(x = +- sqrt(7/2)#