Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
2x2 + x – 4 = 0
Given: 2x2 + x – 4 = 0
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 2, b = 1, c = – 4
Discriminant D = b2 – 4ac
= (1)2 – 4.2. – 4
= 1 + 32 = 33 > 0
Hence the roots of equation are real.
Roots are given by
Hence the roots of equation are