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13/(x-4)=2

13/(x-4)=2 equation

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Numerical solution:

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The solution

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  13     
----- = 2
x - 4    
13x4=2\frac{13}{x - 4} = 2
Detail solution
Given the equation:
13x4=2\frac{13}{x - 4} = 2
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 13

b1 = -4 + x

a2 = 1

b2 = 1/2

so we get the equation
132=x4\frac{13}{2} = x - 4
132=x4\frac{13}{2} = x - 4
Move free summands (without x)
from left part to right part, we given:
0=x2120 = x - \frac{21}{2}
Move the summands with the unknown x
from the right part to the left part:
x=212- x = - \frac{21}{2}
Divide both parts of the equation by -1
x = -21/2 / (-1)

We get the answer: x = 21/2
The graph
2.55.07.510.012.515.017.520.022.525.027.530.0-2500025000
Rapid solution [src]
x1 = 21/2
x1=212x_{1} = \frac{21}{2}
x1 = 21/2
Sum and product of roots [src]
sum
21/2
212\frac{21}{2}
=
21/2
212\frac{21}{2}
product
21/2
212\frac{21}{2}
=
21/2
212\frac{21}{2}
21/2
Numerical answer [src]
x1 = 10.5
x1 = 10.5
The graph
13/(x-4)=2 equation