Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).
-$x^{2}+x+9=0$
A) $\left\{\frac{-1 \pm \sqrt{35}}{2}\right\}$

B) $\left\{\frac{-1 \pm \sqrt{35} \mathrm{i}}{2}\right\}$

C) $\left\{\frac{1 \pm \sqrt{35}}{2}\right\}$

D) $\left\{\frac{1 \pm \sqrt{35} i}{2}\right\}$

Question

Solve the quadratic equation using the most efficient technique (factoring, extracting square roots, completing the square, or the quadratic formula).
-$x^{2}+x+9=0$
A) $\left\{\frac{-1 \pm \sqrt{35}}{2}\right\}$

B) $\left\{\frac{-1 \pm \sqrt{35} \mathrm{i}}{2}\right\}$

C) $\left\{\frac{1 \pm \sqrt{35}}{2}\right\}$

D) $\left\{\frac{1 \pm \sqrt{35} i}{2}\right\}$

Quizplus · Accepted Answer

The most efficient technique for solving $x^{2}+x+9=0$ is the quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, where $a=1$, $b=1$, and $c=9$. Plugging these values into the formula gives $x = \frac{-1 \pm \sqrt{1^2-4*1*9}}{2*1} = \frac{-1 \pm \sqrt{1-36}}{2} = \frac{-1 \pm \sqrt{-35}}{2}$. Since the discriminant ($b^2-4ac$) is negative, the solution involves imaginary numbers, making the correct answer $\frac{-1 \pm \sqrt{35}i}{2}$.

Solve the Quadratic Equation Using the Most Efficient Technique (Factoring x2+x+9=0x^{2}+x+9=0x2+x+9=0

Solve the Quadratic Equation Using the Most Efficient Technique (Factoring $x^{2}+x+9=0$