Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
√3x2 – 2√2x –2√3 = 0
Given:
Comparing with standard quadratic equation ax2 + bx + c = 0
Discriminant D = b2 – 4ac
=
= 8 + 24 = 32 > 0
Hence the roots of equation are real.
Roots are given by
Hence the roots of equation are