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76.34=3-06E^2-0.0267E+88.24
We move all terms to the left:
76.34-(3-06E^2-0.0267E+88.24)=0
We get rid of parentheses
06E^2+0.0267E-3-88.24+76.34=0
We add all the numbers together, and all the variables
06E^2+0.0267E-14.9=0
a = 06; b = 0.0267; c = -14.9;
Δ = b2-4ac
Δ = 0.02672-4·06·(-14.9)
Δ = 357.60071289
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{-(0.0267)-\sqrt{357.60071289}}{2*06}=\frac{-0.0267-\sqrt{357.60071289}}{12} $$E_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0267)+\sqrt{357.60071289}}{2*06}=\frac{-0.0267+\sqrt{357.60071289}}{12} $
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