Solve Quadratic Equations Using the Quadratic Formula
Solve the equation using the quadratic formula.
-$$x ^ { 2 } + 7 x - 44 = 0$$
A) $\{ - 11,4 \}$
B) $\{ 11,4 \}$
C) $\{ - 11,1 \}$
D) $\{ - 4,11 \}$

Question

Quizplus · Accepted Answer

The quadratic formula is: 
$$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$
In this equation, a=1, b=7, and c=-44. Plug in these values and simplify:
$$x = \frac{-7 \pm \sqrt{7^2-4(1)(-44)}}{2(1)}$$
$$x = \frac{-7 \pm \sqrt{225}}{2}$$
$$x = \frac{-7 \pm 15}{2}$$
Simplify further:
$$x_1 = -11$$
$$x_2 = 4$$
Therefore, the answer is A, since it includes both solutions.

Solve Quadratic Equations Using the Quadratic Formula Solve the Equation x2+7x−44=0x ^ { 2 } + 7 x - 44 = 0x2+7x−44=0

Solve Quadratic Equations Using the Quadratic Formula
Solve the Equation $x ^ { 2 } + 7 x - 44 = 0$