3y=2-1/3y

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Solution for 3y=2-1/3y equation:



3y=2-1/3y
We move all terms to the left:
3y-(2-1/3y)=0
Domain of the equation: 3y)!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
3y-(-1/3y+2)=0
We get rid of parentheses
3y+1/3y-2=0
We multiply all the terms by the denominator
3y*3y-2*3y+1=0
Wy multiply elements
9y^2-6y+1=0
a = 9; b = -6; c = +1;
Δ = b2-4ac
Δ = -62-4·9·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$y=\frac{-b}{2a}=\frac{6}{18}=1/3$

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