Q. 164.5( 2 Votes )

Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

x2 + x + 2 = 0

Answer :

Given: x2 + x + 2 = 0

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 1, b = 1, c = 2


Discriminant D = b2 – 4ac


= (1)2 – 4.1.2


= 1 – 8 = – 7 < 0


Hence the roots of equation do not exist


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