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X^2+83.75X=58600
We move all terms to the left:
X^2+83.75X-(58600)=0
a = 1; b = 83.75; c = -58600;
Δ = b2-4ac
Δ = 83.752-4·1·(-58600)
Δ = 241414.0625
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{-(83.75)-\sqrt{241414.0625}}{2*1}=\frac{-83.75-\sqrt{241414.0625}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(83.75)+\sqrt{241414.0625}}{2*1}=\frac{-83.75+\sqrt{241414.0625}}{2} $
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