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77x^2-151x+7=0
a = 77; b = -151; c = +7;
Δ = b2-4ac
Δ = -1512-4·77·7
Δ = 20645
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{-(-151)-\sqrt{20645}}{2*77}=\frac{151-\sqrt{20645}}{154} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-151)+\sqrt{20645}}{2*77}=\frac{151+\sqrt{20645}}{154} $
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