Question

Find the value of x √3 x -2 = 2√3 +4

Plz don't troll​

Answer 1

Need To Find Out :-

• Value of " x "

Solution :-

We are given :-

• $\displaystyle{\sf\:\sqrt{3}\:x\:-\:2\:=\:2\:\sqrt{3}\:+\:4\:}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\:\:\:\:\:\:\:\:\displaystyle\pink{{\sf\:\sqrt{3}\:x\:-\:2\:=\:2\:\sqrt{3}\:+\:4\:}}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:\sqrt{3}\:x\:=\:2\:\sqrt{3}\:+\:4\:+\:2}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:\sqrt{3}\:x\:=\:2\:\sqrt{3}\:+\:6}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:x\:=\:\dfrac{2\:\sqrt{3}\:+\:6}{\sqrt{3}}}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:x\:=\:\dfrac{(\:2\:\sqrt{3}\:+\:6\:)\:\times\:\sqrt{3}}{\sqrt{3}\:\times\:\sqrt{3}}}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:x\:=\:\dfrac{2\:\times\:3\:+\:6\:\sqrt{3}}{3}}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:x\:=\:\dfrac{6\:+\:6\:\sqrt{3}}{3}}$

$\:\:\:\:\:\:\:\:\displaystyle{:\implies\sf\:x\:=\:\dfrac{\cancel{6}\:(\:1\:+\:\sqrt{3}\:)}{\cancel{3}}}$

$\:\:\:\:\:\:\:\::\:\implies\:{\underline{\boxed{\frak{\pink{x\:=\:2\:(\:1\:+\:\sqrt{3}\:)}}}}}\:\bigstar$

$\therefore\:\underline{\textsf{Value of x is \textbf{2(1+√3)}}}.$