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Question
Find the roots of the quadratic equation 2x2 – x – 6 = 0.
Sum
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Solution
The given quadratic equation is 2x2 – x – 6 = 0
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
⇒ x = 2 or x = `(-3)/2`
Hence, the roots of the given equation are 2 and `(-3)/2`.
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