Solve. Round results to the nearest thousandth.
-$10 x ^ { 2 } - 3 x - 15 = 0$
A) $1.384 , - 1.084$
B) $1.084 , - 1.384$
C) $0.779 , - 1.079$
D) $1.079 , - 0.779$

Question

Quizplus · Accepted Answer

This quadratic equation can be solved using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 10$, $b = -3$, and $c = -15$. Plugging these values into the formula gives $x = \frac{3 \pm \sqrt{(-3)^2 - 4(10)(-15)}}{2(10)}$, which simplifies to $x = \frac{3 \pm \sqrt{9 + 600}}{20}$ or $x = \frac{3 \pm \sqrt{609}}{20}$. This further simplifies to $x \approx 1.384$ and $x \approx -1.084$, when rounded to the nearest thousandth.

Solve Round Results to the Nearest Thousandth 10x2−3x−15=010 x ^ { 2 } - 3 x - 15 = 010x2−3x−15=0

Solve Round Results to the Nearest Thousandth $10 x ^ { 2 } - 3 x - 15 = 0$