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-0.054x^2+0.636x+41.077=0
a = -0.054; b = 0.636; c = +41.077;
Δ = b2-4ac
Δ = 0.6362-4·(-0.054)·41.077
Δ = 9.277128
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{-(0.636)-\sqrt{9.277128}}{2*-0.054}=\frac{-0.636-\sqrt{9.277128}}{-0.108} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.636)+\sqrt{9.277128}}{2*-0.054}=\frac{-0.636+\sqrt{9.277128}}{-0.108} $
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