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x^2-85x+189=0
a = 1; b = -85; c = +189;
Δ = b2-4ac
Δ = -852-4·1·189
Δ = 6469
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{-(-85)-\sqrt{6469}}{2*1}=\frac{85-\sqrt{6469}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{6469}}{2*1}=\frac{85+\sqrt{6469}}{2} $
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