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X^2-5X-974=0
a = 1; b = -5; c = -974;
Δ = b2-4ac
Δ = -52-4·1·(-974)
Δ = 3921
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{-(-5)-\sqrt{3921}}{2*1}=\frac{5-\sqrt{3921}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{3921}}{2*1}=\frac{5+\sqrt{3921}}{2} $
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