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# Find the roots of the following quadratic equations by factorisation: 2x² + x – 6 = 0

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2x² + x – 6 = 0

Solving the quadratic equation, we get

2x² + x – 6 = 0 ⇒ 2x² – 4x + 3x – 6 = 0

⇒ 2x(x – 2) +3 (x – 2) = 0

⇒ (x – 2) (2x + 3) = 0

⇒ (x – 2) = 0 or (2x + 3) = 0

Either x = 2 or x = – 3/2

Hence, the roots of the given quadratic equation are 2 and – 3/2.