6x^2=4950

Solution for 6x^2=4950 equation:

6x^2=4950

We move all terms to the left:

6x^2-(4950)=0

a = 6; b = 0; c = -4950;
Δ = b2-4ac
Δ = 02-4·6·(-4950)
Δ = 118800
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:

$\sqrt{\Delta}=\sqrt{118800}=\sqrt{3600*33}=\sqrt{3600}*\sqrt{33}=60\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{33}}{2*6}=\frac{0-60\sqrt{33}}{12}
=-\frac{60\sqrt{33}}{12}
=-5\sqrt{33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{33}}{2*6}=\frac{0+60\sqrt{33}}{12}
=\frac{60\sqrt{33}}{12}
=5\sqrt{33}
$