Question

Simplify this

3x – (8/x) = 2​

Answer 1

Solution :

$\: \: \: \: \: \: \: \: \: \:3x - \frac{8}{x} = 2$

$= > \frac{ {3x}^{2} - 8}{x} = 2$

$= > {3x}^{2} - 8 = 2x$

$= > {3x}^{2} - 2x - 8 = 0$

$= > {3x}^{2} - 6x + 4x - 8 = 0$

$= > 3x(x - 2) + 4(x - 2) = 0$

$= > (x - 2)(3x + 4)$

$= > x - 2 = 0 \: \: \: \: or \: \: \: \: 3x + 4 = 0$

$= > x = 2 \: \: \: \: or \: \: \: \: 3x = - 4$

$= > x = 2 \: \: \: \: or \: \: \: \: x = \frac{ - 4}{3}$

Answer 2

$\huge\bold{\underline{\color{magenta}{Solution:-}}}$

$\mapsto{3x\:-\:\frac{8}{x}\:=\:2}$

$\mapsto{{3x}^{2}\:-\:8\:=\:2\:×\:x}$

$\mapsto{{3x}^{2}\:-\:2x\:-\:8\:=\:0}$

$\mapsto{{3x}^{2}\:-\:6x\:+\:4x\:-\:8\:=\:0}$

$\mapsto{3x(x\:- \:2)\:+\:4(x \:-\:2)\:=\:0}$

$\mapsto{(3x\:+\:4)(x \:-\:2)\:=\:0}$

$\mapsto{3x\:=\:-\:4\:\:or\:\:x\:=\:2}$

$\mapsto{x\:=\:\frac{-\:4}{3}\:\:or\:\:x\:=\:2}$

⠀

$\large{\boxed{\mapsto{x\:=\:\frac{-\:4}{3}\:\:or\:\:x\:=\:2}}}$