Use the quadratic formula to solve the equation.
-$x^{2}-\frac{1}{5} x=-\frac{7}{10}$

A) $\left\{\frac{-1+\mathrm{i} \sqrt{69}}{10}, \frac{-1-\mathrm{i} \sqrt{69}}{10}\right\}$

B) $\left\{0,-\frac{7}{2} \mathrm{i}\right\}$

C) $\left\{\frac{1+\mathrm{i} \sqrt{69}}{10}, \frac{1-\mathrm{i} \sqrt{69}}{10}\right\}$

D) $\left\{\frac{1}{5} \mathrm{i}, 0\right\}$

Question

Use the quadratic formula to solve the equation.
-$x^{2}-\frac{1}{5} x=-\frac{7}{10}$

A) $\left\{\frac{-1+\mathrm{i} \sqrt{69}}{10}, \frac{-1-\mathrm{i} \sqrt{69}}{10}\right\}$

B) $\left\{0,-\frac{7}{2} \mathrm{i}\right\}$

C) $\left\{\frac{1+\mathrm{i} \sqrt{69}}{10}, \frac{1-\mathrm{i} \sqrt{69}}{10}\right\}$

D) $\left\{\frac{1}{5} \mathrm{i}, 0\right\}$

Quizplus · Accepted Answer

The quadratic formula is used to solve $ax^2 + bx + c = 0$. Here, $a = 1$, $b = -\frac{1}{5}$, and $c = \frac{7}{10}$. Plugging these into the quadratic formula, the solutions are $\frac{1 \pm \mathrm{i} \sqrt{69}}{10}$.

Use the Quadratic Formula to Solve the Equation x2−15x=−710x^{2}-\frac{1}{5} x=-\frac{7}{10}x2−51​x=−107​ A) {−1+i6910,−1−i6910}\left\{\frac{-1+\mathrm{i} \sqrt{69}}{10}, \frac{-1-\mathrm{i} \sqrt{69}}{10}\right\}{10−1+i69​​,10−1−i69​​}

Use the Quadratic Formula to Solve the Equation $x^{2}-\frac{1}{5} x=-\frac{7}{10}$ A) $\left\{\frac{-1+\mathrm{i} \sqrt{69}}{10}, \frac{-1-\mathrm{i} \sqrt{69}}{10}\right\}$