1/2n+1/2n=n=5

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Solution for 1/2n+1/2n=n=5 equation:



1/2n+1/2n=n=5
We move all terms to the left:
1/2n+1/2n-(n)=0
Domain of the equation: 2n!=0
n!=0/2
n!=0
n∈R
We add all the numbers together, and all the variables
-1n+1/2n+1/2n=0
We multiply all the terms by the denominator
-1n*2n+1+1=0
We add all the numbers together, and all the variables
-1n*2n+2=0
Wy multiply elements
-2n^2+2=0
a = -2; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-2)·2
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*-2}=\frac{-4}{-4} =1 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*-2}=\frac{4}{-4} =-1 $

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