Solve the following quadratic equation for x:
4√3x2 + 5x - 2√3 = 0
4√3x2+5x-2√3 = 0
⇒ 4√3x2+8x-3x-2√3 = 0
⇒ 4x(√3x+2)-√3(√3x+2) = 0
⇒ (4x-√3)(√3x+2) = 0
⇒ (4x-√3) =0 or (√3x+2) = 0
∴ x = (√3/4) or x = (-2/√3)
Thus, the roots of the given Quadratic Equations are (√3/4) and (-2/√3).
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