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X^2+25X+74=0
a = 1; b = 25; c = +74;
Δ = b2-4ac
Δ = 252-4·1·74
Δ = 329
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{-(25)-\sqrt{329}}{2*1}=\frac{-25-\sqrt{329}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{329}}{2*1}=\frac{-25+\sqrt{329}}{2} $
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