Solve the absolute value equation or indicate that the equation has no solution.
-$$\left| x ^ { 2 } - 1 x \right| = 0$$
A) $\{ - 1,0 \}$
B) $\{ 0,1 \}$
C) $\{ - 1,0,1 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The absolute value of an expression equals 0 if and only if the expression itself is 0. Thus, $x^2 - 1x = 0$ when $x(x - 1) = 0$, which gives the solutions $x = 0$ and $x = 1$.

Solve the Absolute Value Equation or Indicate That the Equation ∣x2−1x∣=0\left| x ^ { 2 } - 1 x \right| = 0​x2−1x​=0

Solve the Absolute Value Equation or Indicate That the Equation $\left| x ^ { 2 } - 1 x \right| = 0$