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9n-9n-9n+9n*99999n=00
We add all the numbers together, and all the variables
-9n+9n*99999n=0
Wy multiply elements
899991n^2-9n=0
a = 899991; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·899991·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{81}=9$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*899991}=\frac{0}{1799982} =0 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*899991}=\frac{18}{1799982} =1/99999 $
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