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27.8x^2-57.6x+28.8=0
a = 27.8; b = -57.6; c = +28.8;
Δ = b2-4ac
Δ = -57.62-4·27.8·28.8
Δ = 115.2
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{-(-57.6)-\sqrt{115.2}}{2*27.8}=\frac{57.6-\sqrt{115.2}}{55.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57.6)+\sqrt{115.2}}{2*27.8}=\frac{57.6+\sqrt{115.2}}{55.6} $
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