Question

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

Answer 1

`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`