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Question
Solve the following quadratic equation:
6x2 + 11x + 3 = 0
Sum
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Solution
Given:
6x2 + 11x + 3 = 0
⇒ 6x2 + 9x + 2x + 3 = 0
⇒ 3x(2x + 3) + 1(2x + 3) = 0
⇒ (3x + 1)(2x + 3) = 0
⇒ 3x + 1 = 0 or 2x + 3 = 0
⇒ `x = (-1)/3` or `x = (-3)/2`
Hence, `(-1)/3` and `(-3)/2` are the roots of the equation 6x2 + 11x + 3 = 0.
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