Use the quadratic formula or graphing methods to
-$$2 x ^ { 2 } + 10 x + 4 \leq 0$$
A) $x \geq \frac { - 5 + \sqrt { 17 } } { 2 } \approx - 0.438$
B) $x \leq \frac { - 5 - \sqrt { 17 } } { 2 } \approx - 4.562$
C) $x \leq \frac { - 5 - \sqrt { 17 } } { 2 } \approx - 4.562$ or $x \geq \frac { - 5 + \sqrt { 17 } } { 2 } \approx - 0.438$
D) $\frac { - 5 - \sqrt { 17 } } { 2 } \approx - 4.562 \leq x \leq \frac { - 5 + \sqrt { 17 } } { 2 } \approx - 0.438$

Question

Quizplus · Accepted Answer

The quadratic formula $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ is used to find the roots of the equation $2x^2 + 10x + 4 = 0$. The roots are $\frac{-5 \pm \sqrt{17}}{2}$. Since the inequality is $\leq 0$, the solution includes values between the roots, hence choice D is correct.

Use the Quadratic Formula or Graphing Methods to - 2x2+10x+4≤02 x ^ { 2 } + 10 x + 4 \leq 02x2+10x+4≤0

Use the Quadratic Formula or Graphing Methods to
- $2 x ^ { 2 } + 10 x + 4 \leq 0$