Find the roots of the equation 3x2 = -11x – 10. – InterviewSolution

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1.

Find the roots of the equation 3x2 = -11x – 10.

Answer»

Given equation is 3x²= -11x – 10

⇒ 3x²+ 11x + 10 = 0

⇒ 3x²+ 6x + 5x + 10 = 0

⇒ 3x(x + 2) + 5(x + 2) = 0

⇒ (3x + 2)(x + 2) = 0

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

Or, x + 2 = 0 ⇒ x = -2

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

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