4x+9/x=12

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Solution for 4x+9/x=12 equation:



4x+9/x=12
We move all terms to the left:
4x+9/x-(12)=0
Domain of the equation: x!=0
x∈R
We multiply all the terms by the denominator
4x*x-12*x+9=0
We add all the numbers together, and all the variables
-12x+4x*x+9=0
Wy multiply elements
4x^2-12x+9=0
a = 4; b = -12; c = +9;
Δ = b2-4ac
Δ = -122-4·4·9
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{12}{8}=1+1/2$

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