Question

factorisation √3x^2+4x-4√3 =0​

Answer 1

Answer:

$\implies \: \: \: \: x=\frac{-4±\sqrt{4^{2}-4\sqrt{3}\left(-4\sqrt{3}\right)}}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{-4±\sqrt{16-4\sqrt{3}\left(-4\sqrt{3}\right)}}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{-4±\sqrt{16+\left(-4\sqrt{3}\right)\left(-4\sqrt{3}\right)}}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{-4±\sqrt{16+48}}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{-4±\sqrt{64}}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{-4±8}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{4}{2\sqrt{3}}$

$\implies \: \: \: \: x=\frac{2\sqrt{3}}{3}$

$\implies \: \: \: \: x=\frac{-12}{2\sqrt{3}}$

$\implies \: \: \: \: x=-2\sqrt{3}$

$\implies \: \: \: \: x=\frac{2\sqrt{3}}{3} \: \: \: \: \: \: \: \: \: \: \: \: x=-2\sqrt{3}$

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