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Question
Solve the following quadratic equation:
4 – 11x = 3x2
Sum
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Solution
Given:
4 – 11x = 3x2
⇒ 3x2 + 11x – 4 = 0
⇒ 3x2 + 12x – x – 4 = 0
⇒ 3x(x + 4) – 1(x + 4) = 0
⇒ (x + 4)(3x – 1) = 0
⇒ x + 4 = 0 or 3x – 1 = 0
⇒ x = – 4 or x = `1/3`
Hence, the roots of the equation are – 4 and `1/3`.
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