Question

Find the roots of the quadratic equation $2x^2+\frac{5}{3}x-2=0$ by the factorisation method

Answer 1

Given,

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

$\Rightarrow 6x^2+5x-6=0$

$6x^2-4x+9x-6=0$

$2x(3x-2)+3(3x-2)=0$

$(3x-2)(2x+3)=0$

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

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

Hence, this is the answer.