Solve the equation by factoring.
-$$4 x ^ { 2 } - 11 x = 3$$
A) $\left\{ - \frac { 1 } { 4 } , 3 \right\}$
B) $\left\{ - \frac { 1 } { 4 } , 4 \right\}$
C) $\left\{ \frac { 1 } { 11 } , - \frac { 1 } { 4 } \right\}$
D) $\{ - 4,3 \}$

Question

Quizplus · Accepted Answer

First, rearrange the equation to standard form: $4x^2 - 11x - 3 = 0$. Factoring this quadratic equation, we find the roots to be $x = -\frac{1}{4}$ and $x = 3$, which matches option A.

Solve the Equation by Factoring 4x2−11x=34 x ^ { 2 } - 11 x = 34x2−11x=3

Solve the Equation by Factoring $4 x ^ { 2 } - 11 x = 3$