<PRE><B>Question 895278</B>
x^4 = x^2


x^4 - x^2 = 0


x^2(x^2 - 1) = 0


Set each factor to zero and solve for x.


x^2 = 0


Take the square root of both sides.


sqrt{x^2) = sqrt{0}


x = 0


Do the same thing to the other factor.


x^2 - 1 = 0

x^2 = 1


sqrt{x^2} = sqrt{1}


x = +1 and x = -1


The real SOLUTIONS are the following values for x: -1, 0 and 1.


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