Question

Root 3 x square +10x+7root 3

Answer 1

Consider the given quadratic equation.

$\sqrt{3} x^2+10x+7 \sqrt{3} = 0$

${x}^{2} + \frac{10}{ \sqrt{3} } x + 7 = 0$

$\small{ {x}^{2} + 2 \times \frac{5}{ \sqrt{3} } \times x + ( \frac{5}{ \sqrt{3} }){}^{2} - \frac{25}{3} + 7 = 0}$

${(x + \frac{5}{ \sqrt{3} }) }^{2} = \frac{4}{3}$

$x + \frac{5}{ \sqrt{3} } = \underline{ + } \frac{2}{ \sqrt{3} }$

$x = - \sqrt{3} , - \frac{7}{ \sqrt{3} }$