Question

Solve by factorisation,5x^2-3x-2=0

Answer 1

${\huge{\red{\sf{Given}}}}\begin{cases}\leadsto\bf{A\: quadratic\:equ^{n}\: :5x^{2}-3x-2} \\\leadsto \bf{To\:solve\:it\:by\: factorisation}\end{cases}$

${\huge{\red{\sf{To\:Find}}}}\begin{cases}\leadsto\bf{The\:values\:of\:x} \end{cases}$

$\huge\red{\underline{\bf{\green{Answer}}}}$

$\sf{\red{Taking\:the\:given\: equation}}$

$\sf{\implies 5x^{2}-3x-2=0}$

$\sf{\implies 5x^{2}-5x+2x-2=0}$

${\underline{\bf{\purple{By\: middle\:term\: splitting}}}}$

$\sf{\implies 5x(x-1)+2(x-1)=0}$

$\sf{\implies (5x+2)(x-1)=0}$

$\sf{\implies 5x+2=0\:\:or\:\:(x-1)=0}$

$\sf{\implies 5x=0-2\:\:or\:\:x=0+1}$

$\sf{\implies 5x=-2\:\:or\:\:x =1}$

${\underline{\boxed{\red{\bf{\longmapsto x=\dfrac{-2}{5},1}}}}}$