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2.422=0.01624+294.8782x-6979.54588x^2
We move all terms to the left:
2.422-(0.01624+294.8782x-6979.54588x^2)=0
We get rid of parentheses
6979.54588x^2-294.8782x-0.01624+2.422=0
We add all the numbers together, and all the variables
6979.54588x^2-294.8782x+2.40576=0
a = 6979.54588; b = -294.8782; c = +2.40576;
Δ = b2-4ac
Δ = -294.87822-4·6979.54588·2.40576
Δ = 19788.703650165
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{-(-294.8782)-\sqrt{19788.703650165}}{2*6979.54588}=\frac{294.8782-\sqrt{19788.703650165}}{13959.09176} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-294.8782)+\sqrt{19788.703650165}}{2*6979.54588}=\frac{294.8782+\sqrt{19788.703650165}}{13959.09176} $
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