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77x^2+58x+8=0
a = 77; b = 58; c = +8;
Δ = b2-4ac
Δ = 582-4·77·8
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-30}{2*77}=\frac{-88}{154} =-4/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+30}{2*77}=\frac{-28}{154} =-2/11 $
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