3x2-11x-2=0

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Solution for 3x2-11x-2=0 equation:



3x^2-11x-2=0
a = 3; b = -11; c = -2;
Δ = b2-4ac
Δ = -112-4·3·(-2)
Δ = 145
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{-(-11)-\sqrt{145}}{2*3}=\frac{11-\sqrt{145}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{145}}{2*3}=\frac{11+\sqrt{145}}{6} $

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