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15/3x-1=5/x
We move all terms to the left:
15/3x-1-(5/x)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
15/3x-(+5/x)-1=0
We get rid of parentheses
15/3x-5/x-1=0
We calculate fractions
15x/3x^2+(-15x)/3x^2-1=0
We multiply all the terms by the denominator
15x+(-15x)-1*3x^2=0
Wy multiply elements
-3x^2+15x+(-15x)=0
We get rid of parentheses
-3x^2+15x-15x=0
We add all the numbers together, and all the variables
-3x^2=0
a = -3; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-3)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{0}{-6}=0$
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