Solve the equation.
-$$| 14 x | = 2 x ^ { 2 }$$
A) $\{ 0,7 , - 7 \}$
B) $\{ 0 , - 7 \}$
C) $\{ 0,7 \}$
D) No real solutions

Question

Quizplus · Accepted Answer

The equation $| 14x | = 2x^2$ can be solved by considering both cases for the absolute value: $14x = 2x^2$ and $-14x = 2x^2$. For $14x = 2x^2$, dividing both sides by $2x$ (assuming $x \neq 0$) gives $x = 7$. For $-14x = 2x^2$, dividing both sides by $-2x$ (assuming $x \neq 0$) gives $x = -7$. Additionally, $x = 0$ is a solution since it satisfies the original equation. Therefore, the solutions are $\{0, 7, -7\}$.

Solve the Equation ∣14x∣=2x2| 14 x | = 2 x ^ { 2 }∣14x∣=2x2

Solve the Equation $| 14 x | = 2 x ^ { 2 }$