1.

Find the roots of the equation 6x2 + 11x + 3 = 0.

Answer»

Given equation is 6x2 + 11x + 3 = 0.

⇒ 6x2 + 9x + 2x + 3 = 0

⇒ 3x (2x + 3) + 1(2x + 3) = 0

⇒ (2x +3) (3x + 1) = 0

Now, either 2x + 3 = 0 ⇒ x = \(\frac{-3}{2}\)

Or, 3x + 1= 0 ⇒ x = \(\frac{-1}{3}\)

Thus, the roots of the given quadratic equation are x = \(\frac{-3}{2}\) and x = \(\frac{-1}{3}\) respectively.


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