Question

The product of the roots of the equation x2 + x=2 is:
0-2
01

Answer 1

-2

Explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

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

Using the zero product property

x-1 = 0 x+2 = 0

x=1 x = -2

Product of the roots

1*-2 = -2