Solve. Round results to the nearest thousandth.
-$$x ^ { 2 } - 10 x - 36 = 0$$
A) $23.276 , - 13.276$
B) $12.810 , - 2.810$
C) $13.276 , - 23.276$
D) $2.810 , - 12.810$

Question

Quizplus · Accepted Answer

We can use the quadratic formula to solve for $x$: $$x=\frac{-(-10)\pm\sqrt{(-10)^2-4(1)(-36)}}{2(1)}$$ Simplifying this gives us: $$x=\frac{10\pm\sqrt{244}}{2}$$ We can then use a calculator to approximate the two solutions to the nearest thousandth: $$x\approx12.810,-2.810$$ These values match the numbers in choice B, so the answer is B.

Solve Round Results to the Nearest Thousandth x2−10x−36=0x ^ { 2 } - 10 x - 36 = 0x2−10x−36=0

Solve Round Results to the Nearest Thousandth $x ^ { 2 } - 10 x - 36 = 0$