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x^2-37x-180=0
a = 1; b = -37; c = -180;
Δ = b2-4ac
Δ = -372-4·1·(-180)
Δ = 2089
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{-(-37)-\sqrt{2089}}{2*1}=\frac{37-\sqrt{2089}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{2089}}{2*1}=\frac{37+\sqrt{2089}}{2} $
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