17x2-x-6=0

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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} $

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