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x^2-87x-29=0
a = 1; b = -87; c = -29;
Δ = b2-4ac
Δ = -872-4·1·(-29)
Δ = 7685
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{-(-87)-\sqrt{7685}}{2*1}=\frac{87-\sqrt{7685}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87)+\sqrt{7685}}{2*1}=\frac{87+\sqrt{7685}}{2} $
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