17x2-34x-8=0

Solution for 17x2-34x-8=0 equation:

17x^2-34x-8=0

a = 17; b = -34; c = -8;
Δ = b2-4ac
Δ = -342-4·17·(-8)
Δ = 1700
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:

$\sqrt{\Delta}=\sqrt{1700}=\sqrt{100*17}=\sqrt{100}*\sqrt{17}=10\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-10\sqrt{17}}{2*17}=\frac{34-10\sqrt{17}}{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+10\sqrt{17}}{2*17}=\frac{34+10\sqrt{17}}{34}
$