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X^2-121X-2730=0
a = 1; b = -121; c = -2730;
Δ = b2-4ac
Δ = -1212-4·1·(-2730)
Δ = 25561
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{-(-121)-\sqrt{25561}}{2*1}=\frac{121-\sqrt{25561}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+\sqrt{25561}}{2*1}=\frac{121+\sqrt{25561}}{2} $
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