Question

2x square -5x+3=0 using comleting square method

Answer 1

$2 {x}^{2} - 5x + 3 = 0 \\ 2 {x}^{2} - 5x = - 3 \\ {x }^{2} - \frac{5}{2} x = - \frac{ 3}{2} \\ {x}^{2} - \frac{5}{2} x + \frac{25}{4} = - \frac{3}{2} + \frac{25}{4} \\ {x}^{2} - \frac{5}{2} x + \frac{25}{4} = \frac{ - 6 + 25}{4 } \\ {(x - \frac{5}{4} )}^{2} = \frac{ 19 }{4} \\ x - \frac{5}{4} = + - \frac{ \sqrt{19} }{2} \\ x = \frac{5}{4} + - \frac{ \sqrt{19} }{2 } \\ x = \frac{5 + 2 \sqrt{19} }{2} and \frac{5 - 2 \sqrt{19} }{2}$