State whether the quadratic equation (x + 1) (x – 2) + x = 0 have two distinct real roots. Justify your answer.
The equation (x + 1) (x – 2) + x = 0 has two real and distinct roots.
Simplifying the above equation,
x2 + x – 2x – 2 + x = 0
x2 – 2 = 0
D = b2 – 4ac
= (0)2 – 4(1) (-2)
= 0 + 8 > 0
Hence, the roots are real and distinct.
