3x^2=756

Solution for 3x^2=756 equation:

3x^2=756

We move all terms to the left:

3x^2-(756)=0

a = 3; b = 0; c = -756;
Δ = b2-4ac
Δ = 02-4·3·(-756)
Δ = 9072
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:

$\sqrt{\Delta}=\sqrt{9072}=\sqrt{1296*7}=\sqrt{1296}*\sqrt{7}=36\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{7}}{2*3}=\frac{0-36\sqrt{7}}{6}
=-\frac{36\sqrt{7}}{6}
=-6\sqrt{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{7}}{2*3}=\frac{0+36\sqrt{7}}{6}
=\frac{36\sqrt{7}}{6}
=6\sqrt{7}
$