Question

If √3x-2=2√3+4 then the value of x is

Answer 1

$\underline{ \huge\bf\red{QuestiØn} :}$

Find x .

$\boxed{ \sqrt{3}x - 2 = 2 \sqrt{3} + 4}$

$\underline{ \: \huge\bf\green{SolutiØn} \: :}$

We have,

$\begin{aligned} \\ & \qquad \ \ \ x \sqrt{3} - 2 = 2 \sqrt{3} + 4 \\ \\ & \implies x \sqrt{3} - 2 \sqrt{3} = 2 + 4 \\ \\ & \implies(x - 2) \sqrt{3} = 6 \\ \\ & \implies x - 2 = \frac{6}{ \sqrt{3} } \\ \\ & \implies x - 2 = \frac{2 \sqrt{3} \times \cancel{ \sqrt{3}} }{ \cancel{ \sqrt{3}} } \\ \\ & \implies x - 2 = 2 \sqrt{3} \\ \\ & \implies x = 2 \sqrt{3} + 2 \\ \\ & \implies x = 2( \sqrt{3} + 1) \\ \\ & \large\mathfrak{Hence} , \\ & \underline{ \boxed{x = 2( \sqrt{3} + 1)}}\end{aligned}$

$\red{\rule{5.8cm}{0.02cm}}$

$\mid \underline{\underline{\LARGE\bf\green{Brainliest \: Answer}}}\mid$