Math, asked by deamen, 1 year ago

find the roots by factorisation method 3x²+5√5x-10 =0

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Answered by abdul9838

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$\huge \bf \: solution \\ \\ \bf \: given \: that \\ \\ \bf \: 3 {x}^{2} + 5 \sqrt{5} x - 10 = 0 \\ \\ \bf \: 3 {x}^{2} + (6 \sqrt{5} - \sqrt{5} )x - 10 = 0 \\ \\ \bf \: 3 {x}^{2} + 6 \sqrt{5} x - \sqrt{5} x - 10 = 0 \\ \\ \bf \: 3x(x + 2 \sqrt{5}) - \sqrt{5} (x + 2 \sqrt{5} ) = 0 \\ \\ \bf \: (3x - \sqrt{5} )(x + 2 \sqrt{5} ) = 0 \\ \\ \bf \: x = \frac{ \sqrt{5} }{3} \\ \\ \bf \: and \\ \\ \bf \: x = - 2 \sqrt{5} \: \: ans$

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find the roots by factorisation method 3x²+5√5x-10 =0