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x^2-18.5x+61.25=0
a = 1; b = -18.5; c = +61.25;
Δ = b2-4ac
Δ = -18.52-4·1·61.25
Δ = 97.25
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{-(-18.5)-\sqrt{97.25}}{2*1}=\frac{18.5-\sqrt{97.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18.5)+\sqrt{97.25}}{2*1}=\frac{18.5+\sqrt{97.25}}{2} $
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