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x^2+54.9x-11000=0
a = 1; b = 54.9; c = -11000;
Δ = b2-4ac
Δ = 54.92-4·1·(-11000)
Δ = 47014.01
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{-(54.9)-\sqrt{47014.01}}{2*1}=\frac{-54.9-\sqrt{47014.01}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54.9)+\sqrt{47014.01}}{2*1}=\frac{-54.9+\sqrt{47014.01}}{2} $
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