200=17x^2

Solution for 200=17x^2 equation:

200=17x^2

We move all terms to the left:

200-(17x^2)=0

a = -17; b = 0; c = +200;
Δ = b2-4ac
Δ = 02-4·(-17)·200
Δ = 13600
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:

$\sqrt{\Delta}=\sqrt{13600}=\sqrt{400*34}=\sqrt{400}*\sqrt{34}=20\sqrt{34}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{34}}{2*-17}=\frac{0-20\sqrt{34}}{-34}
=-\frac{20\sqrt{34}}{-34}
=-\frac{10\sqrt{34}}{-17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{34}}{2*-17}=\frac{0+20\sqrt{34}}{-34}
=\frac{20\sqrt{34}}{-34}
=\frac{10\sqrt{34}}{-17}
$