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22.2(x^2)-7.7488x+.6470248=0
We add all the numbers together, and all the variables
22.2x^2-7.7488x+0.6470248=0
a = 22.2; b = -7.7488; c = +0.6470248;
Δ = b2-4ac
Δ = -7.74882-4·22.2·0.6470248
Δ = 2.5880992
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{-(-7.7488)-\sqrt{2.5880992}}{2*22.2}=\frac{7.7488-\sqrt{2.5880992}}{44.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.7488)+\sqrt{2.5880992}}{2*22.2}=\frac{7.7488+\sqrt{2.5880992}}{44.4} $
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