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22.2x^2-2.431x+0.0398=0
a = 22.2; b = -2.431; c = +0.0398;
Δ = b2-4ac
Δ = -2.4312-4·22.2·0.0398
Δ = 2.375521
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{-(-2.431)-\sqrt{2.375521}}{2*22.2}=\frac{2.431-\sqrt{2.375521}}{44.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.431)+\sqrt{2.375521}}{2*22.2}=\frac{2.431+\sqrt{2.375521}}{44.4} $
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