Question

Solve the Quadratic Equation for $x$
$453x^2+5x-2\sqrt{3}=0$

Answer 1

Given,

$453x^2+5x-2\sqrt{3}=0$

$a=453,b=5,c=-2\sqrt{3}$

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x_1=\frac{-5+\sqrt{5^2-4\cdot 453(-2\sqrt{3})}}{2\cdot 453}=\frac{-5+\sqrt{25+3624\sqrt{3}}}{906}$

$x_2=\frac{-5-\sqrt{5^2-4\cdot 453(-2\sqrt{3})}}{2\cdot 453}=\frac{-5-\sqrt{25+3624\sqrt{3}}}{906}$