# 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

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