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x^2+314.019418x+24673.20799626468=21.2
We move all terms to the left:
x^2+314.019418x+24673.20799626468-(21.2)=0
We add all the numbers together, and all the variables
x^2+314.019418x+24652.0079963=0
a = 1; b = 314.019418; c = +24652.0079963;
Δ = b2-4ac
Δ = 314.0194182-4·1·24652.0079963
Δ = 0.16289585871
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{-(314.019418)-\sqrt{0.16289585871}}{2*1}=\frac{-314.019418-\sqrt{0.16289585871}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(314.019418)+\sqrt{0.16289585871}}{2*1}=\frac{-314.019418+\sqrt{0.16289585871}}{2} $
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