2x^2=714

Solution for 2x^2=714 equation:

2x^2=714

We move all terms to the left:

2x^2-(714)=0

a = 2; b = 0; c = -714;
Δ = b2-4ac
Δ = 02-4·2·(-714)
Δ = 5712
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:

$\sqrt{\Delta}=\sqrt{5712}=\sqrt{16*357}=\sqrt{16}*\sqrt{357}=4\sqrt{357}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{357}}{2*2}=\frac{0-4\sqrt{357}}{4}
=-\frac{4\sqrt{357}}{4}
=-\sqrt{357}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{357}}{2*2}=\frac{0+4\sqrt{357}}{4}
=\frac{4\sqrt{357}}{4}
=\sqrt{357}
$