17x2-x-6=0

Solution for 17x2-x-6=0 equation:

17x^2-x-6=0

We add all the numbers together, and all the variables

17x^2-1x-6=0

a = 17; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·17·(-6)
Δ = 409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{409}}{2*17}=\frac{1-\sqrt{409}}{34}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{409}}{2*17}=\frac{1+\sqrt{409}}{34}
$