Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The solution set of n2 − 14n = -45 is [ ]

Answer 1

n=5 n=9

Explanation:

n^2 − 14n = -45

Add 45 to each side

n^2 − 14n +45 = -45+45

n^2 -14n +45 = 0

Factor the equation

What 2 number multiply to 45 and add to -14

-5*-9 = 45

-5+-9 = -14

(n-5) (n-9) =0

Using the zero product property

n=5 n=9