Question

Solve each quadratic equation by factoring and using the zero product property. n^2 - 49 = 0

Answer 1

Answer:

x = 7 x = -7

Step-by-step explanation:

n^2 - 49 = 0

       +49     +49

n^2 = 49

$\sqrt{n} = \sqrt{49} \\\\n = +/- 7$

Answer 2

Answer:

n = 7     n=-7

Step-by-step 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