170^2=2x^2

Solution for 170^2=2x^2 equation:

170^2=2x^2

We move all terms to the left:

170^2-(2x^2)=0

We add all the numbers together, and all the variables

-2x^2+28900=0

a = -2; b = 0; c = +28900;
Δ = b2-4ac
Δ = 02-4·(-2)·28900
Δ = 231200
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:

$\sqrt{\Delta}=\sqrt{231200}=\sqrt{115600*2}=\sqrt{115600}*\sqrt{2}=340\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-340\sqrt{2}}{2*-2}=\frac{0-340\sqrt{2}}{-4}
=-\frac{340\sqrt{2}}{-4}
=-\frac{85\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+340\sqrt{2}}{2*-2}=\frac{0+340\sqrt{2}}{-4}
=\frac{340\sqrt{2}}{-4}
=\frac{85\sqrt{2}}{-1}
$