(3/2)n=-1/9

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Solution for (3/2)n=-1/9 equation:



(3/2)n=-1/9
We move all terms to the left:
(3/2)n-(-1/9)=0
Domain of the equation: 2)n!=0
n!=0/1
n!=0
n∈R
We add all the numbers together, and all the variables
(+3/2)n-(-1/9)=0
We multiply parentheses
3n^2-(-1/9)=0
We get rid of parentheses
3n^2+1/9=0
We multiply all the terms by the denominator
3n^2*9+1=0
Wy multiply elements
27n^2+1=0
a = 27; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·27·1
Δ = -108
Delta is less than zero, so there is no solution for the equation

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