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9x^2-85x+49=0
a = 9; b = -85; c = +49;
Δ = b2-4ac
Δ = -852-4·9·49
Δ = 5461
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{-(-85)-\sqrt{5461}}{2*9}=\frac{85-\sqrt{5461}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{5461}}{2*9}=\frac{85+\sqrt{5461}}{18} $
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