Question

1. Find the common root of x2 + 5x + 6 = 0 and x 2 + x - 2 = 0.
​

Answer 1

Answer:

-2

Step-by-step explanation:

1) x²+5x+6=0

x²+3x+2x+6=0

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

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

x+2=0,x=-2

x+3=0,x=-3

2) x²+x-2=0

x²+2x-x-2=0

x(x+2)-1(x+2)=0

(x-1)(x+2)=0

x=1,-2

The common root is -2 in the given two equations ..