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

Jul 14, 2016

$x = - 6 \mathmr{and} x = - 5$

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.

$5 \times 6 = 30 , \mathmr{and} 5 + 6 = 11$

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

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

$\mathmr{if} x + 5 = 0 , x = - 5$
$\mathmr{if} x + 6 = 0 , x = - 6$