2x^2=434

Solution for 2x^2=434 equation:

2x^2=434

We move all terms to the left:

2x^2-(434)=0

a = 2; b = 0; c = -434;
Δ = b2-4ac
Δ = 02-4·2·(-434)
Δ = 3472
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:

$\sqrt{\Delta}=\sqrt{3472}=\sqrt{16*217}=\sqrt{16}*\sqrt{217}=4\sqrt{217}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{217}}{2*2}=\frac{0-4\sqrt{217}}{4}
=-\frac{4\sqrt{217}}{4}
=-\sqrt{217}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{217}}{2*2}=\frac{0+4\sqrt{217}}{4}
=\frac{4\sqrt{217}}{4}
=\sqrt{217}
$