Q. 1 I

State whether the following quadratic equations have two distinct real roots. Justify your answer.

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

Answer :

The equation (x - 1) (x + 2) + 2 = 0 has two real and distinct roots.


Simplifying the above equation,


x2 – x + 2x – 2 + 2 = 0


x2 + x = 0


D = b2 - 4ac


= 12 - 4(1)(0)


= 1 - 0 > 0


Hence, the roots are real and distinct.


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