Solve the equation for x: $4\sqrt{3} x^{2} +5x-2\sqrt{3} =0$

Given: The equation, $4\sqrt{3} x^{2} +5x-2\sqrt{3} =0$

To do: To solve the equation for x.

Solution: The given equation, 

 $4\sqrt{3} x^{2} +5x-2\sqrt{3} =0$

 $\Rightarrow 4\sqrt{3} x^{2} +8x-3x-2\sqrt{3} =0$

$\Rightarrow 4x( \sqrt{3}x+2) −\sqrt{3}( \sqrt{3}x+2) =0$

 $\Rightarrow ( \sqrt{3}x+2)( 4x−\sqrt{3})=0$

If $( \sqrt{3}x+2)=0$

$\Rightarrow x=-\frac{2}{\sqrt{3}}$

If ( 4x−\sqrt{3})=0

$\Rightarrow x=\frac{\sqrt{3}}{4}$

Therefore, $x=-\frac{2}{\sqrt{3}}, \frac{\sqrt{3}}{4}$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

59 Views

Kickstart Your Career

Get certified by completing the course

Get Started