Solve the equation by the method of your choice.
-$( x + 7 ) ( x - 8 ) = 5$
A) $\left\{ \frac { 1 \pm 7 \sqrt { 5 } } { 2 } \right\}$
B) $\left\{ \frac { 1 \pm 7 i\sqrt { 5 } } { 2 } \right\}$
C) $\left\{ \frac { - 1 \pm 7 \sqrt { 5 } } { 2 } \right\}$
D) $\left\{ \frac { - 1 \pm 7i \sqrt { 5 } } { 2 } \right\}$

Question

Quizplus · Accepted Answer

First, expand the given equation: $x^2 - 8x + 7x - 56 = 5$, which simplifies to $x^2 - x - 61 = 0$. Using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, with $a = 1$, $b = -1$, and $c = -61$, we find $x = \frac{1 \pm \sqrt{1 + 4 \cdot 61}}{2}$ = $\frac{1 \pm \sqrt{245}}{2}$ = $\frac{1 \pm 7\sqrt{5}}{2}$.

Solve the Equation by the Method of Your Choice (x+7)(x−8)=5( x + 7 ) ( x - 8 ) = 5(x+7)(x−8)=5

Solve the Equation by the Method of Your Choice $( x + 7 ) ( x - 8 ) = 5$