Find the roots of the following quadratic equation by factorisation,x( – InterviewSolution

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1.

Find the roots of the following quadratic equation by factorisation,x(x + 4) = 12

Answer»

Given: x(x + 4) = 12

⇒ x² + 4x = 12

⇒ x² + 4x – 12 = 0

⇒ x² + 6x – 2x – 12 = 0

⇒ x(x + 6) – 2(x + 6) = 0

⇒ (x + 6) (x – 2) = 0

⇒ x + 6 = 0 or x – 2 = 0

⇒ x = -6 or x = 2

⇒ x = -6 or 2 are the roots of the given Q.E.

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