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9x^2-79x-26=0
a = 9; b = -79; c = -26;
Δ = b2-4ac
Δ = -792-4·9·(-26)
Δ = 7177
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{-(-79)-\sqrt{7177}}{2*9}=\frac{79-\sqrt{7177}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+\sqrt{7177}}{2*9}=\frac{79+\sqrt{7177}}{18} $
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