Use the quadratic formula to solve the quadratic equation. Approximate the solutions to the nearest tenth.
-$5 x ^ { 2 } = 75$
A)-6.1, 6.1
B)-3.9, 3.9
C)-1.9, 1.9
D)-7.7, 7.7

Question

Quizplus · Accepted Answer

First, rewrite the equation in standard form: $5x^2 - 75 = 0$. Then, apply the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ with $a = 5$, $b = 0$, and $c = -75$. This gives $x = \pm \sqrt{\frac{75}{5}} = \pm \sqrt{15}$, which approximates to $-3.9$ and $3.9$.

Use the Quadratic Formula to Solve the Quadratic Equation 5x2=755 x ^ { 2 } = 755x2=75

Use the Quadratic Formula to Solve the Quadratic Equation $5 x ^ { 2 } = 75$