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81x^2-115x-14=0
a = 81; b = -115; c = -14;
Δ = b2-4ac
Δ = -1152-4·81·(-14)
Δ = 17761
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{-(-115)-\sqrt{17761}}{2*81}=\frac{115-\sqrt{17761}}{162} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-115)+\sqrt{17761}}{2*81}=\frac{115+\sqrt{17761}}{162} $
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