Solve the equation using the quadratic formula.
-$$( x + 6 ) ( x - 1 ) = 5$$
A) $\left\{ - \frac { - 5 } { 2 } \pm \frac { i \sqrt { 69 } } { 2 } \right\}$
B) $\left\{ \frac { - 5 \pm \sqrt { 69 } } { 2 } \right\}$
C) $\left\{ \frac { 5 \pm \sqrt { 69 } } { 2 } \right\}$
D) $\left\{ \frac { - 5 } { 2 } \pm \frac { \mathrm { i } \sqrt { 69 } } { 2 } \right\}$

Question

Quizplus · Accepted Answer

First, expand and simplify the given equation: $x^2 + 6x - x - 6 = 5$, which simplifies to $x^2 + 5x - 11 = 0$. Applying the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, with $a = 1$, $b = 5$, and $c = -11$, we get $x = \frac{-5 \pm \sqrt{25 + 44}}{2}$, which simplifies to $x = \frac{-5 \pm \sqrt{69}}{2}$.

Solve the Equation Using the Quadratic Formula (x+6)(x−1)=5( x + 6 ) ( x - 1 ) = 5(x+6)(x−1)=5

Solve the Equation Using the Quadratic Formula $( x + 6 ) ( x - 1 ) = 5$