(2+i)/i=1-2i

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Solution for (2+i)/i=1-2i equation:



(2+i)/i=1-2i
We move all terms to the left:
(2+i)/i-(1-2i)=0
Domain of the equation: i!=0
i∈R
We add all the numbers together, and all the variables
(i+2)/i-(-2i+1)=0
We get rid of parentheses
(i+2)/i+2i-1=0
We multiply all the terms by the denominator
(i+2)+2i*i-1*i=0
We add all the numbers together, and all the variables
-1i+(i+2)+2i*i=0
Wy multiply elements
2i^2-1i+(i+2)=0
We get rid of parentheses
2i^2-1i+i+2=0
We add all the numbers together, and all the variables
2i^2+2=0
a = 2; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·2·2
Δ = -16
Delta is less than zero, so there is no solution for the equation

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