3x2=189

Solution for 3x2=189 equation:

3x^2=189

We move all terms to the left:

3x^2-(189)=0

a = 3; b = 0; c = -189;
Δ = b2-4ac
Δ = 02-4·3·(-189)
Δ = 2268
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:

$\sqrt{\Delta}=\sqrt{2268}=\sqrt{324*7}=\sqrt{324}*\sqrt{7}=18\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18\sqrt{7}}{2*3}=\frac{0-18\sqrt{7}}{6}
=-\frac{18\sqrt{7}}{6}
=-3\sqrt{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18\sqrt{7}}{2*3}=\frac{0+18\sqrt{7}}{6}
=\frac{18\sqrt{7}}{6}
=3\sqrt{7}
$