3x2-17x-2=0

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Solution for 3x2-17x-2=0 equation:



3x^2-17x-2=0
a = 3; b = -17; c = -2;
Δ = b2-4ac
Δ = -172-4·3·(-2)
Δ = 313
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{-(-17)-\sqrt{313}}{2*3}=\frac{17-\sqrt{313}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{313}}{2*3}=\frac{17+\sqrt{313}}{6} $

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