Solve by using the quadratic formula
-$2 x^{2}+10 x=-4$
A) $\left\{\frac{-10 \pm \sqrt{17}}{2}\right\}$

B) $\left\{\frac{-5 \pm \sqrt{33}}{2}\right\}$

C) $\left\{\frac{-5 \pm \sqrt{17}}{2}\right\}$

D) $\left\{\frac{-5 \pm \sqrt{17}}{4}\right\}$

Question

Solve by using the quadratic formula
-$2 x^{2}+10 x=-4$
A) $\left\{\frac{-10 \pm \sqrt{17}}{2}\right\}$

B) $\left\{\frac{-5 \pm \sqrt{33}}{2}\right\}$

C) $\left\{\frac{-5 \pm \sqrt{17}}{2}\right\}$

D) $\left\{\frac{-5 \pm \sqrt{17}}{4}\right\}$

Quizplus · Accepted Answer

First, rewrite the equation as $2x^2 + 10x + 4 = 0$. Then, apply the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with $a = 2$, $b = 10$, and $c = 4$. This gives $x = \frac{-10 \pm \sqrt{100 - 32}}{4} = \frac{-10 \pm \sqrt{68}}{4} = \frac{-10 \pm \sqrt{4 \times 17}}{4} = \frac{-10 \pm 2\sqrt{17}}{4} = \frac{-5 \pm \sqrt{17}}{2}$.

Solve by Using the Quadratic Formula - 2x2+10x=−42 x^{2}+10 x=-42x2+10x=−4 A) {−10±172}\left\{\frac{-10 \pm \sqrt{17}}{2}\right\}{2−10±17​​}

Solve by Using the Quadratic Formula
- $2 x^{2}+10 x=-4$ A) $\left\{\frac{-10 \pm \sqrt{17}}{2}\right\}$