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x^2+5x-864=0
a = 1; b = 5; c = -864;
Δ = b2-4ac
Δ = 52-4·1·(-864)
Δ = 3481
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3481}=59$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-59}{2*1}=\frac{-64}{2} =-32 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+59}{2*1}=\frac{54}{2} =27 $
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