Question

Solve each of the following by 'completion of square' as well as by using ' quadratic formula':

$1. \: \sqrt{3} x {}^{2} + 10x + 7 \sqrt{3} = 0$
Ans:
$\frac{ - 7 \sqrt{3} }{3} \: , \: \: - \sqrt{3}$

Standard:- 10

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Answer 1

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Answer 2

Hey user

Here is your answer

$\sqrt{3} {x}^{2} + 10x + 7 \sqrt{3} =0 \\ \\ \sqrt{3} {x}^{2} + 3x + 7x + 7 \sqrt{3} = 0 \\ \\ \sqrt{3} x(x + \sqrt{3} ) + 7(x + \sqrt{3} ) = 0 \\ \\ (x + \sqrt{3} )( \sqrt{3} x + 7) = 0 \\ \\ x + \sqrt{3} = 0 \: \: \: \: \: \: or \: \: \: \: \: \sqrt{3} x + 7 = 0 \\ \\ x = - \frac{7}{ \sqrt{3} } \: \: \: \: \: or \: \: \: \: \: x = - \sqrt{3}$

Thank you.