170=5x^2

Solution for 170=5x^2 equation:

170=5x^2

We move all terms to the left:

170-(5x^2)=0

a = -5; b = 0; c = +170;
Δ = b2-4ac
Δ = 02-4·(-5)·170
Δ = 3400
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:

$\sqrt{\Delta}=\sqrt{3400}=\sqrt{100*34}=\sqrt{100}*\sqrt{34}=10\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{34}}{2*-5}=\frac{0-10\sqrt{34}}{-10}
=-\frac{10\sqrt{34}}{-10}
=-\frac{\sqrt{34}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{34}}{2*-5}=\frac{0+10\sqrt{34}}{-10}
=\frac{10\sqrt{34}}{-10}
=\frac{\sqrt{34}}{-1}
$