Solve the equation by the quadratic formula.
-$$4 x ^ { 2 } + 10 x = - 2$$
A) $$\frac { - 10 \pm \sqrt { 17 } } { 4 }$$
B) $$\frac { - 5 \pm \sqrt { 17 } } { 4 }$$
C) $$\frac { - 5 \pm \sqrt { 33 } } { 4 }$$
D) $$\frac { - 5 \pm \sqrt { 17 } } { 8 }$$

Question

Quizplus · Accepted Answer

First, rewrite the equation in standard form: $4x^2 + 10x + 2 = 0$. Then, apply the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with $a = 4$, $b = 10$, and $c = 2$. This gives $x = \frac{-10 \pm \sqrt{10^2 - 4(4)(2)}}{2(4)} = \frac{-10 \pm \sqrt{100 - 32}}{8} = \frac{-10 \pm \sqrt{68}}{8}$, which simplifies to $\frac{-5 \pm \sqrt{17}}{4}$.

Solve the Equation by the Quadratic Formula 4x2+10x=−24 x ^ { 2 } + 10 x = - 24x2+10x=−2

Solve the Equation by the Quadratic Formula $4 x ^ { 2 } + 10 x = - 2$