l^2-6l-112=0

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Solution for l^2-6l-112=0 equation:



l^2-6l-112=0
a = 1; b = -6; c = -112;
Δ = b2-4ac
Δ = -62-4·1·(-112)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-22}{2*1}=\frac{-16}{2} =-8 $
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+22}{2*1}=\frac{28}{2} =14 $

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