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81x^2-36x-104=0
a = 81; b = -36; c = -104;
Δ = b2-4ac
Δ = -362-4·81·(-104)
Δ = 34992
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{34992}=\sqrt{11664*3}=\sqrt{11664}*\sqrt{3}=108\sqrt{3}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-108\sqrt{3}}{2*81}=\frac{36-108\sqrt{3}}{162} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+108\sqrt{3}}{2*81}=\frac{36+108\sqrt{3}}{162} $
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