Question

If√3x-2=2√3+4 then the value of x is.

Answer 1

$\sqrt{3} \times x - 2 = 2 \sqrt{3} + 4 \\ \sqrt{3} \times x = 2 \sqrt{3} + 4 + 2 \\ \sqrt{3} x = 2 \sqrt{3} + 6 \\ \sqrt{3} x = 2 \sqrt{3} (1 + \sqrt{3} ) \\ x = 2 \sqrt{3} (1 + \sqrt{3} ) \div \sqrt{3} \\ x = 2(1 + \sqrt{3} ) \\ x = 2 + 2 \sqrt{3}$

Answer 2

Answer:

Thus, The required value of x = 2 + 2√3

Step-by-step explanation:

The equation is given to be :

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

We need to find the value of x from this equation.

$\implies \sqrt{3}\times x -2 = 2\cdot\sqrt{3}+4$

$\implies \sqrt{3}\times x = 2 + 2\cdot\sqrt{3}+4$

$\implies \sqrt{3}\times x = 6 + 2\cdot\sqrt{3}$

$\implies x = \frac{6}{\sqrt{3}}+2$

$\implies x = 2\sqrt{3}+2$

Thus, The required value of x = 2 + 2√3