Question

Factorise : (i) 4√3x² + 5x – 2√3​

Answer 1

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Answer 2

Answer:

(i) 4√3x²+5x–2√3

Using the Quadratic formula:

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

$x = \frac{ - 5± \sqrt{25 - 4(4 \sqrt{3} )( - 2 \sqrt{3} )} }{2(4 \sqrt{3} )}$

$x = \frac{ - 5± \sqrt{25 + 96} }{8 \sqrt{3} }$

$x = \frac{ - 5±11}{8 \sqrt{3} }$

$∴ \: x = (- \frac{2 \sqrt{3} }{3}) , \: (\frac{ \sqrt{3} }{4} )$

Therefore, the factors are:

$⇒(x + \frac{2 \sqrt{3} }{3} )(x - \frac{ \sqrt{3} }{4} )$