Find the roots of

Given Equation:

Taking L.C.M, we get,

Cross-multiplying, we get,

-9 = 4(x² – 3x)

-9 = 4x² – 12x

4x² – 12x + 9 = 0

Now, we know that for an equation ax² + bx + c = 0, roots are given by,

x

Comparing 4x² – 12x + 9 = 0 with ax² + bx + c = 0

a = 4, b = -12 and c = 9

Therefore,

Hence, the roots of the equation are and .