Question

Find the roots f quadratic equation 3^(2)−5××+2 by completingsquare method

Answer 1

$3 {x}^{2} - 5x + 2 = 0 \\ = > 3( {x}^{2} - \frac{5x}{3} + \frac{2}{3} ) = 0 \\ = > 3( {x}^{2} - \frac{5x}{3} + \frac{25}{36} ) = \frac{25}{12} - 2 \\ = > ( {x - \frac{5}{6}) }^{2} = ( { \frac{1}{6} )}^{2} \\ = > (x - \frac{5}{6} ) = | \frac{1}{6} | \\ = > x = \frac{5}{6} + \frac{1}{6} \\ = > x = \frac{5}{6} - \frac{1}{6} \\ = > x = 1 \\ = > x = \frac{2}{3}$
Hope it helps