Solve by using the quadratic formula.
-$4 m^{2}+10 m+2=0$
A) $\left\{\frac{-5+\sqrt{17}}{4}, \frac{-5-\sqrt{17}}{4}\right\}$

B) $\left\{\frac{-10+\sqrt{17}}{4}, \frac{-10-\sqrt{17}}{4}\right\}$

C) $\left\{\frac{-5+\sqrt{17}}{8}, \frac{-5-\sqrt{17}}{8}\right\}$

D) $\left\{\frac{-5+\sqrt{33}}{4}, \frac{-5-\sqrt{33}}{4}\right\}$

Question

Solve by using the quadratic formula.
-$4 m^{2}+10 m+2=0$
A) $\left\{\frac{-5+\sqrt{17}}{4}, \frac{-5-\sqrt{17}}{4}\right\}$

B) $\left\{\frac{-10+\sqrt{17}}{4}, \frac{-10-\sqrt{17}}{4}\right\}$

C) $\left\{\frac{-5+\sqrt{17}}{8}, \frac{-5-\sqrt{17}}{8}\right\}$

D) $\left\{\frac{-5+\sqrt{33}}{4}, \frac{-5-\sqrt{33}}{4}\right\}$

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For the equation $4m^2 + 10m + 2 = 0$, $a = 4$, $b = 10$, and $c = 2$. Plugging these into the formula gives $m = \frac{-10 \pm \sqrt{10^2 - 4(4)(2)}}{2(4)} = \frac{-10 \pm \sqrt{100 - 32}}{8} = \frac{-10 \pm \sqrt{68}}{8}$, which simplifies to $\frac{-5 \pm \sqrt{17}}{4}$ after dividing numerator and denominator by 2.

Solve by Using the Quadratic Formula 4m2+10m+2=04 m^{2}+10 m+2=04m2+10m+2=0 A) {−5+174,−5−174}\left\{\frac{-5+\sqrt{17}}{4}, \frac{-5-\sqrt{17}}{4}\right\}{4−5+17​​,4−5−17​​}

Solve by Using the Quadratic Formula $4 m^{2}+10 m+2=0$ A) $\left\{\frac{-5+\sqrt{17}}{4}, \frac{-5-\sqrt{17}}{4}\right\}$