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x^2-11x-3630=0
a = 1; b = -11; c = -3630;
Δ = b2-4ac
Δ = -112-4·1·(-3630)
Δ = 14641
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{14641}=121$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-121}{2*1}=\frac{-110}{2} =-55 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+121}{2*1}=\frac{132}{2} =66 $
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