Question

Find the zeroes of the quadratic polynomial root 3 x2+10x+7root3

Answer 1

Step-by-step explanation:

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