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16.4944-13.7694x+2.7464x^2=0
a = 2.7464; b = -13.7694; c = +16.4944;
Δ = b2-4ac
Δ = -13.76942-4·2.7464·16.4944
Δ = 8.39549572
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{-(-13.7694)-\sqrt{8.39549572}}{2*2.7464}=\frac{13.7694-\sqrt{8.39549572}}{5.4928} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13.7694)+\sqrt{8.39549572}}{2*2.7464}=\frac{13.7694+\sqrt{8.39549572}}{5.4928} $
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