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91x^2-159.34x-32.64=0
a = 91; b = -159.34; c = -32.64;
Δ = b2-4ac
Δ = -159.342-4·91·(-32.64)
Δ = 37270.1956
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{-(-159.34)-\sqrt{37270.1956}}{2*91}=\frac{159.34-\sqrt{37270.1956}}{182} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-159.34)+\sqrt{37270.1956}}{2*91}=\frac{159.34+\sqrt{37270.1956}}{182} $
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