Question

3x²+2√5x-5=0 by factorisation method

Answer 1

SOLUTION:-

Given:

3x² + 2√5x -5 =0

Explanation:

$= > 3 {x}^{2} + 2 \sqrt{5} - 5 = 0 \\ \\ = > 3 {x}^{2} + 3x \sqrt{5}- x \sqrt{5} - 5 = 0 \\ \\ = > 3x(x + \sqrt{5} ) - \sqrt{5} (x + \sqrt{5} ) = 0 \\ \\ = > (x + \sqrt{5} )(3x - \sqrt{5} ) = 0 \\ \\ = > (x + \sqrt{5} ) = 0 \: \: \: or \: \: \: 3x - \sqrt{5} = 0 \\ \\ = > x = - \sqrt{5} \: \: \: \: or \: \: \: \: 3x = \sqrt{5} \\ \\ = > x = - \sqrt{5} \: \: \: \: or \: \: \: \: \: x = \frac{ \sqrt{5} }{3}$

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