17x2=14

Solution for 17x2=14 equation:

17x^2=14

We move all terms to the left:

17x^2-(14)=0

a = 17; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·17·(-14)
Δ = 952
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:

$\sqrt{\Delta}=\sqrt{952}=\sqrt{4*238}=\sqrt{4}*\sqrt{238}=2\sqrt{238}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{238}}{2*17}=\frac{0-2\sqrt{238}}{34}
=-\frac{2\sqrt{238}}{34}
=-\frac{\sqrt{238}}{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{238}}{2*17}=\frac{0+2\sqrt{238}}{34}
=\frac{2\sqrt{238}}{34}
=\frac{\sqrt{238}}{17}
$