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7.855+19.62x=980x^2
We move all terms to the left:
7.855+19.62x-(980x^2)=0
determiningTheFunctionDomain -980x^2+19.62x+7.855=0
a = -980; b = 19.62; c = +7.855;
Δ = b2-4ac
Δ = 19.622-4·(-980)·7.855
Δ = 31176.5444
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{-(19.62)-\sqrt{31176.5444}}{2*-980}=\frac{-19.62-\sqrt{31176.5444}}{-1960} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19.62)+\sqrt{31176.5444}}{2*-980}=\frac{-19.62+\sqrt{31176.5444}}{-1960} $
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