Question

find the roots of given equation by the methoded
Completing the square : 5 x^2
+ 10x+7√3 =0
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Answer 1

$5 {x}^{2} + 10x + 7 \sqrt{3} = 0 \\ \\ 5 {x}^{2} + 10x = - 7 \sqrt{3} \\ \\ 5( {x}^{2} + 2x + 1 - 1) = - 7 \sqrt{3} \\ \\ 5( {x}^{2} + 2x + 1) - 5 = - 7 \sqrt{3} \\ \\ 5 {(x + 1)}^{2} = 5 - 7 \sqrt{3} \\ \\ {(x + 1)}^{2} = \frac{5 - 7 \sqrt{3} }{5} \\ \\ x = - 1 + | \sqrt{ \frac{5 - 7 \sqrt{3} }{5} } \\ \\ x = - 1 + \sqrt{ \frac{5 - 7 \sqrt{3} }{5} } \\ \\ x = - 1 - \sqrt{ \frac{5 - 7 \sqrt{3} }{5} }$

hope it helps.