Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
x2 + x + 2 = 0
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