Solve the equation using the quadratic formula.
-$5 x ^ { 2 } - 3 x + 1 = 0$
A) $\left\{ \frac { 3 \pm i \sqrt { 11 } } { 10 } \right\}$
B) $\left\{ \frac { 3 \pm \sqrt { 11 } } { 10 } \right\}$
C) $\left\{ \frac { - 3 \pm i \sqrt { 11 } } { 10 } \right\}$
D) $\left\{ \frac { - 3 \pm \sqrt { 11 } } { 10 } \right\}$

Question

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For $5x^2 - 3x + 1 = 0$, $a = 5$, $b = -3$, and $c = 1$. Plugging these into the formula gives $x = \frac{3 \pm \sqrt{(-3)^2 - 4(5)(1)}}{2(5)} = \frac{3 \pm \sqrt{9 - 20}}{10} = \frac{3 \pm i\sqrt{11}}{10}$.

Solve the Equation Using the Quadratic Formula 5x2−3x+1=05 x ^ { 2 } - 3 x + 1 = 05x2−3x+1=0

Solve the Equation Using the Quadratic Formula $5 x ^ { 2 } - 3 x + 1 = 0$