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9x^2-74x+77=0
a = 9; b = -74; c = +77;
Δ = b2-4ac
Δ = -742-4·9·77
Δ = 2704
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{2704}=52$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-74)-52}{2*9}=\frac{22}{18} =1+2/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74)+52}{2*9}=\frac{126}{18} =7 $
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