Question

kuta software - infinite algebra 1
using the quadratic formula
solve each equation with the quadratic formula.

1. $m^2 - 5m - 14 = 0$

Explanation:

Step1: Identify a, b, c values

For $m^2 - 5m - 14 = 0$, $a=1$, $b=-5$, $c=-14$

Step2: Recall quadratic formula

$$m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Step3: Substitute values into formula

$$m = \frac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-14)}}{2(1)}$$

Step4: Simplify discriminant

$$m = \frac{5 \pm \sqrt{25 + 56}}{2} = \frac{5 \pm \sqrt{81}}{2}$$

Step5: Simplify square root and solve

$$m = \frac{5 \pm 9}{2}$$

Answer:

$m=7$ and $m=-2$