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7x^2-77x+110=0
a = 7; b = -77; c = +110;
Δ = b2-4ac
Δ = -772-4·7·110
Δ = 2849
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{2849}}{2*7}=\frac{77-\sqrt{2849}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+\sqrt{2849}}{2*7}=\frac{77+\sqrt{2849}}{14} $
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