How do you solve #x^2 +11x+30=0#?

1 Answer
Jul 14, 2016

Answer:

# x = -6 or x= -5#

Explanation:

We need to factorise first.
Find factors of 30 which add up to 11. The signs in the brackets will be the same, both positive.

#5xx6 = 30, and 5 + 6 = 11#

#(x+5)(x+6) = 0

We are multiplying two factors and getting the answer 0, Therefore one of the factors must be 0.

#if x + 5 = 0, x = -5#
#if x +6 = 0, x =-6#