Question

Find all real solutions for the equation n² + 20n +96= 0.

Answer 1

n = -8 , n = -12

Explanation:

First we factorise the quadratic using the factorisation method :

n²+8n+12n+96 = 0

n(n+8)+12(n+8) = 0

(n+12)(n+8) = 0

Now we equate each bracket to 0 :

Either

n + 12 = 0

n = -12

OR

n + 8 = 0

n = -8

So the real solutions for that equation is

n = -8 , n = -12