17-34x^2=0

Solution for 17-34x^2=0 equation:

17-34x^2=0

a = -34; b = 0; c = +17;
Δ = b2-4ac
Δ = 02-4·(-34)·17
Δ = 2312
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:

$\sqrt{\Delta}=\sqrt{2312}=\sqrt{1156*2}=\sqrt{1156}*\sqrt{2}=34\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-34\sqrt{2}}{2*-34}=\frac{0-34\sqrt{2}}{-68}
=-\frac{34\sqrt{2}}{-68}
=-\frac{\sqrt{2}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+34\sqrt{2}}{2*-34}=\frac{0+34\sqrt{2}}{-68}
=\frac{34\sqrt{2}}{-68}
=\frac{\sqrt{2}}{-2}
$