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Question
Solve: `4sqrt(3)x^2 + 5x - 2sqrt(3) = 0`.
Sum
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Solution
`4sqrt(3)x^2 + 5x - 2sqrt(3) = 0`
⇒ `4sqrt(3)x^2 + 8x - 3x - 2sqrt(3) = 0`
⇒ `4x(sqrt(3)x + 2) - sqrt(3)(sqrt(3)x + 2) = 0`
⇒ `(sqrt(3)x + 2) (4x - sqrt(3)) = 0`
⇒ `sqrt(3)x + 2 = 0` or `4x - sqrt(3) = 0`
⇒ `x = -2/sqrt(3) = (-2sqrt(3))/3` or `x = sqrt(3)/4`
Hence, `(-2sqrt(3))/3` and `sqrt(3)/4` are the roots of the given equation.
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