Use the quadratic formula to solve the equation.
-$$x ^ { 2 } - 2 x - 15 = 0$$
A) $\{ 3,5 \}$
B) $\{ - 3,5 \}$
C) $\{ 3 , - 5 \}$
D) $\{ - 15,0 \}$

Question

Quizplus · Accepted Answer

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For the equation $x^2 - 2x - 15 = 0$, $a = 1$, $b = -2$, and $c = -15$. Plugging these into the formula gives $x = \frac{2 \pm \sqrt{4 + 60}}{2}$, which simplifies to $x = \frac{2 \pm \sqrt{64}}{2}$, resulting in solutions $x = 5$ and $x = -3$.

Use the Quadratic Formula to Solve the Equation x2−2x−15=0x ^ { 2 } - 2 x - 15 = 0x2−2x−15=0

Use the Quadratic Formula to Solve the Equation $x ^ { 2 } - 2 x - 15 = 0$