2-(1/2)n=3n+16

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Solution for 2-(1/2)n=3n+16 equation:



2-(1/2)n=3n+16
We move all terms to the left:
2-(1/2)n-(3n+16)=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
-(+1/2)n-(3n+16)+2=0
We multiply parentheses
-n^2-(3n+16)+2=0
We get rid of parentheses
-n^2-3n-16+2=0
We add all the numbers together, and all the variables
-1n^2-3n-14=0
a = -1; b = -3; c = -14;
Δ = b2-4ac
Δ = -32-4·(-1)·(-14)
Δ = -47
Delta is less than zero, so there is no solution for the equation

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