Question

Find the zeroes of the codratic polynomial 3x square minus 3 root 3x +2

Answer 1

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