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X^2-39X-220=0
a = 1; b = -39; c = -220;
Δ = b2-4ac
Δ = -392-4·1·(-220)
Δ = 2401
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{2401}=49$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-49}{2*1}=\frac{-10}{2} =-5 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+49}{2*1}=\frac{88}{2} =44 $
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