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Find the roots of each of the following equations, if they exist, by applying the quadratic formula:
Given:
taking LCM
3x2 – 6x + 2 = 0 cross multiplying
Comparing with standard quadratic equation ax2 + bx + c = 0
a = 3, b = – 6, c = 2
Discriminant D = b2 – 4ac
= (– 6)2 – 4.3.2
= 36 – 24 = 12 > 0
Hence the roots of equation are real.
Roots are given by
Hence the roots of equation are