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x^2-2x-172.5=0
a = 1; b = -2; c = -172.5;
Δ = b2-4ac
Δ = -22-4·1·(-172.5)
Δ = 694
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{-(-2)-\sqrt{694}}{2*1}=\frac{2-\sqrt{694}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{694}}{2*1}=\frac{2+\sqrt{694}}{2} $
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