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29d^2-343d+84=0
a = 29; b = -343; c = +84;
Δ = b2-4ac
Δ = -3432-4·29·84
Δ = 107905
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-343)-\sqrt{107905}}{2*29}=\frac{343-\sqrt{107905}}{58} $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-343)+\sqrt{107905}}{2*29}=\frac{343+\sqrt{107905}}{58} $
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