3x*x=524

Solution for 3x*x=524 equation:

3x*x=524

We move all terms to the left:

3x*x-(524)=0

Wy multiply elements

3x^2-524=0

a = 3; b = 0; c = -524;
Δ = b2-4ac
Δ = 02-4·3·(-524)
Δ = 6288
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6288}=\sqrt{16*393}=\sqrt{16}*\sqrt{393}=4\sqrt{393}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{393}}{2*3}=\frac{0-4\sqrt{393}}{6}
=-\frac{4\sqrt{393}}{6}
=-\frac{2\sqrt{393}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{393}}{2*3}=\frac{0+4\sqrt{393}}{6}
=\frac{4\sqrt{393}}{6}
=\frac{2\sqrt{393}}{3}
$