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=8-05E^2-0.0167E+19.586
We move all terms to the left:
-(8-05E^2-0.0167E+19.586)=0
We get rid of parentheses
05E^2+0.0167E-8-19.586=0
We add all the numbers together, and all the variables
05E^2+0.0167E-27.586=0
a = 05; b = 0.0167; c = -27.586;
Δ = b2-4ac
Δ = 0.01672-4·05·(-27.586)
Δ = 551.72027889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$E_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.0167)-\sqrt{551.72027889}}{2*05}=\frac{-0.0167-\sqrt{551.72027889}}{10} $$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0167)+\sqrt{551.72027889}}{2*05}=\frac{-0.0167+\sqrt{551.72027889}}{10} $
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