Solve the inequality.
-$$4 x ^ { 2 } - 15

Question

Solve the inequality.
-$$4 x ^ { 2 } - 15 < - 17 x$$
A) $\left( - \frac { 3 } { 4 } , 5 \right)$
B) $\left( \frac { 3 } { 4 } , 5 \right)$
C) $\left( - 5 , - \frac { 3 } { 4 } \right)$
D) $\left( - 5 , \frac { 3 } { 4 } \right)$

Quizplus · Accepted Answer

Rearrange the inequality to $4x^2 + 17x - 15 < 0$. Solve the quadratic equation $4x^2 + 17x - 15 = 0$ to find the roots $x = -5$ and $x = \frac{3}{4}$. The inequality holds between these roots, so the solution is $(-5, \frac{3}{4})$.

Solve the Inequality 4x2−15<−17x4 x ^ { 2 } - 15 < - 17 x4x2−15<−17x

Solve the Inequality $4 x ^ { 2 } - 15 < - 17 x$