Mister Exam

9/(x-2)=9/2 equation

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Numerical solution:

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The solution

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  9        
----- = 9/2
x - 2      
$$\frac{9}{x - 2} = \frac{9}{2}$$
Detail solution
Given the equation:
$$\frac{9}{x - 2} = \frac{9}{2}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 9

b1 = -2 + x

a2 = 1

b2 = 2/9

so we get the equation
$$9 \cdot \frac{2}{9} = 1 \left(x - 2\right)$$
$$2 = x - 2$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x - 4$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = -4$$
Divide both parts of the equation by -1
x = -4 / (-1)

We get the answer: x = 4
The graph
Rapid solution [src]
x1 = 4
$$x_{1} = 4$$
Sum and product of roots [src]
sum
0 + 4
$$0 + 4$$
=
4
$$4$$
product
1*4
$$1 \cdot 4$$
=
4
$$4$$
4
Numerical answer [src]
x1 = 4.0
x1 = 4.0
The graph
9/(x-2)=9/2 equation