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63x^2-77x+8=0
a = 63; b = -77; c = +8;
Δ = b2-4ac
Δ = -772-4·63·8
Δ = 3913
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{-(-77)-\sqrt{3913}}{2*63}=\frac{77-\sqrt{3913}}{126} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+\sqrt{3913}}{2*63}=\frac{77+\sqrt{3913}}{126} $
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