Question

2x square+5÷3x-2=0 find the roots the following quadratic equation by factorisation method​

Answer 1

Answer:

or, we have 2xsquare+5÷3x-2=0

or, 2xsquare+5=0×3x-2

or, 2xsquare+5=0

or, 2xsquare=-5

hence, x=sq.root-5÷2

ans..

Answer 2

$\red{✪}\green {Required \: Solution} \red{✪}$

$\blue {Given,}$

$\green {2 {x}^{2} + \frac{5}{3} x - 2 = 0}$

$\green {6 {x}^{2} + 5x - 6 = 0}$

$\green {6 {x}^{2} - 4x + 9x - 6 = 0}$

$\green {2x(3x - 2) + 3(3x - 2) = 0}$

$\green {(3x - 2)(2x + 3) = 0}$

$\green {(x - \frac{2}{3} )(x + \frac{3}{2} ) = 0}$

$\green {x = \frac{2}{3} , - \frac{3}{2} }$

$\orange {Hence \: this \: is \: the \: answer.}$