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x^2-36.1x+259.21=0
a = 1; b = -36.1; c = +259.21;
Δ = b2-4ac
Δ = -36.12-4·1·259.21
Δ = 266.37
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{-(-36.1)-\sqrt{266.37}}{2*1}=\frac{36.1-\sqrt{266.37}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36.1)+\sqrt{266.37}}{2*1}=\frac{36.1+\sqrt{266.37}}{2} $
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