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9x^2-97x-344=0
a = 9; b = -97; c = -344;
Δ = b2-4ac
Δ = -972-4·9·(-344)
Δ = 21793
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{21793}}{2*9}=\frac{97-\sqrt{21793}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+\sqrt{21793}}{2*9}=\frac{97+\sqrt{21793}}{18} $
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