Question

3x²+3√5x-5=0 by factorisation method

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

$\\{\bold{\therefore x=\frac{-3\sqrt{5}\pm\sqrt{105}}{6}}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies x \in( {3x}^{2} + 3 \sqrt{5} x - 5 = 0) \\ \\ \underline \bold{To \: Find : } \\ \implies x = ?$

• According to given question :

$\bold{Using \: Quadratic \: formula : } \\ \implies {3x}^{2} + 3 \sqrt{5} x - 5 = 0 \\ \\ \implies x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ \implies x = \frac{ - 3 \sqrt{5} \pm \sqrt{ {(3 \sqrt{5} ) }^{2} - 4 \times 3 \times - 5} }{2 \times 3} \\ \\ \implies x = \frac{ - 3 \sqrt{5} \pm \sqrt{45 + 60} }{6} \\ \\ \bold{\implies x = \frac{ - 3 \sqrt{5} \pm \sqrt{105} }{6} }$