Question

Solve x^2+5x=-6

A)x=5 and x=1
B)x=-5 and x=-1
C)x=3 and x =2
D)x=-3 and x=-2

Answer 1

C

Explanation:

x²+5x=-6

Collect like terms

x²+5x+6=0

Factors that when multiplied will give us 6 and when added will give us 5 are 2 and 3.

Therefore,

x²+5x+6=0

x²+2x+3x+6=0

Factorizing;

x(x+2)+3(x+2)=0

Pick one (x+2)

(x+2)(x+3)=0

x+2=0 x+3=0

x=2 and x=3