-5x^2-11x-6=0

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Solution for -5x^2-11x-6=0 equation:



-5x^2-11x-6=0
a = -5; b = -11; c = -6;
Δ = b2-4ac
Δ = -112-4·(-5)·(-6)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-1}{2*-5}=\frac{10}{-10} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+1}{2*-5}=\frac{12}{-10} =-1+1/5 $

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