(n(n+1)/2)=(1000(1000+1)/2)

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Solution for (n(n+1)/2)=(1000(1000+1)/2) equation:



(n(n+1)/2)=(1000(1000+1)/2)
We move all terms to the left:
(n(n+1)/2)-((1000(1000+1)/2))=0
We add all the numbers together, and all the variables
(n(n+1)/2)-((10001001/2))=0
We calculate fractions
3n^2/()+()/()=0
We add all the numbers together, and all the variables
3n^2/()+1=0
We multiply all the terms by the denominator
3n^2+1*()=0
We add all the numbers together, and all the variables
3n^2=0
a = 3; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·3·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$n=\frac{-b}{2a}=\frac{0}{6}=0$

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