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X^2-97X+552=0
a = 1; b = -97; c = +552;
Δ = b2-4ac
Δ = -972-4·1·552
Δ = 7201
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{-(-97)-\sqrt{7201}}{2*1}=\frac{97-\sqrt{7201}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+\sqrt{7201}}{2*1}=\frac{97+\sqrt{7201}}{2} $
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