If |x^2 − 2| = x, which of the following could be the value of x? Choose the correct choice from the following answers
A) -2
B) -1
C) 0
D) 1
E) 4
The LHS is not negative, so the RHS is also not negative. Thus x &gt;= 0.   First, let's assume that x^2-2 is negative.   -(x^2 - 2) = x   x^2 + x - 2 = 0   (x+2)(x-1) = 0   x = 1 or x = -2 (However, x can not be negative.)   Then x = 1 is a possible value for x.   The answer is 1.
<result>D</result>
If |x^2 − 2| = x, which of the following could be the value of x?