2x^2=588

Solution for 2x^2=588 equation:

2x^2=588

We move all terms to the left:

2x^2-(588)=0

a = 2; b = 0; c = -588;
Δ = b2-4ac
Δ = 02-4·2·(-588)
Δ = 4704
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:

$\sqrt{\Delta}=\sqrt{4704}=\sqrt{784*6}=\sqrt{784}*\sqrt{6}=28\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{6}}{2*2}=\frac{0-28\sqrt{6}}{4}
=-\frac{28\sqrt{6}}{4}
=-7\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{6}}{2*2}=\frac{0+28\sqrt{6}}{4}
=\frac{28\sqrt{6}}{4}
=7\sqrt{6}
$