Solve Equations Involving Absolute Value
Solve the absolute value equation or indicate that the equation has no solution.
-$$\left| x ^ { 2 } - 8 x \right| = 0$$
A) $\{ 0,8 \}$
B) $\{ - 8,0,8 \}$
C) $\{ - 8,0 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation $\left| x ^ { 2 } - 8 x \right| = 0$ implies that $x ^ { 2 } - 8 x = 0$. Factoring out x gives $x(x - 8) = 0$, which has solutions $x = 0$ and $x = 8$.

Solve Equations Involving Absolute Value Solve the Absolute Value Equation ∣x2−8x∣=0\left| x ^ { 2 } - 8 x \right| = 0​x2−8x​=0

Solve Equations Involving Absolute Value
Solve the Absolute Value Equation $\left| x ^ { 2 } - 8 x \right| = 0$