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x^2-81x+51=0
a = 1; b = -81; c = +51;
Δ = b2-4ac
Δ = -812-4·1·51
Δ = 6357
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{-(-81)-\sqrt{6357}}{2*1}=\frac{81-\sqrt{6357}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+\sqrt{6357}}{2*1}=\frac{81+\sqrt{6357}}{2} $
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