Question

Determine the roots of
x² + x -
(a + 1)(a + 2) = 0 by using the
quadratic formula.
(a+2) and (a+1)
a
-(a+2) and (a-1)
-(a+2) and -(a+1)
(a+1) and -(a+2)​

Answer 1

(a+1) (a+2) =0

a^2 + 2a + a + 2 =0

a^2 + 3a + 2 =0

a = 1 ;. b = 3 ; c = 2

Discriminant = b^2 - 4ac

Discriminant = 3^2 - 4 × 1 × 2

Discriminant = 9-8

Discriminant =1

Alpha = -b + √D / 2a

= -3 - √1 / 2

= -3 +1 / 2

= -2 / 2

-1

Beta = -b -√ D / 2a

= -3 -√1 / 2

= -3 -1 / 2

= -4 / 2

= -2