Question

Solve each quadratic equation by factoring and using the zero product property.

n^2 - 49 = 0

Answer 1

x = 7 x = -7

Explanation:

n^2 - 49 = 0

+49 +49

n^2 = 49

`√(n) = √(49)  \\\\n = +/- 7\\`

Answer 2

n = 7 n=-7

Explanation:

n^2 - 49 = 0

This is the difference of squares

(a^ - b^2) = (a-b) (a+b)

n^2 -49 = (n-7) (n+7) =0

Using the zero product property

n-7 = 0 n+7 =0

n-7+7 =0+7 n+7-7 = 0-7

n = 7 n=-7