17x^2+26x+8=0

Solution for 17x^2+26x+8=0 equation:

17x^2+26x+8=0

a = 17; b = 26; c = +8;
Δ = b2-4ac
Δ = 262-4·17·8
Δ = 132
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:

$\sqrt{\Delta}=\sqrt{132}=\sqrt{4*33}=\sqrt{4}*\sqrt{33}=2\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-2\sqrt{33}}{2*17}=\frac{-26-2\sqrt{33}}{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+2\sqrt{33}}{2*17}=\frac{-26+2\sqrt{33}}{34}
$