Which side should I put constant C on?

In summary, the constant C in equations represents the y-intercept or initial value of a function and is used to adjust the position of a graph on the y-axis. Its placement is important as it affects the overall shape and position of the graph, but it does not change the solution of the equation. There is no specific side where constant C should always be placed, as it depends on the type of equation and what is being solved for. The placement of constant C should be based on the context of the problem and the conventions or guidance of the specific field of study or instructor.
  • #1
EastWindBreaks
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Homework Statement


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the second solution is the correct, I know you can put C on both sides and it simplifed to C2 on one side, but why can't you put C2 on the right side?

Homework Equations

The Attempt at a Solution

 

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  • #2
Both are correct. ##\frac{c}{x+2}## and ##\frac{1}{c(x+2)}## are the same solutions! Why are they different?
 
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  • #3
Math_QED said:
Both are correct. ##\frac{c}{x+2}## and ##\frac{1}{c(x+2)}## are the same solutions! Why are they different?
oh, because 1/C is just another C?
 
  • #4
EastWindBreaks said:
oh, because 1/C is just another C?

Exactly.
 
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  • #5
Math_QED said:
Exactly.
thank you!
 

1. What does the constant C stand for in equations?

The constant C in equations represents the y-intercept or the initial value of a function. It is usually used to adjust the position of a graph on the y-axis.

2. Why is the placement of constant C important?

The placement of constant C is important because it affects the overall shape and position of the graph. Placing it on the correct side of the equation ensures that the graph accurately represents the data.

3. Does the placement of constant C change the solution of the equation?

No, the placement of constant C does not change the solution of the equation. It only affects the position of the graph, not the actual values of the solution.

4. Is there a specific side where constant C should always be placed?

No, there is no specific side where constant C should always be placed. It depends on the type of equation and what is being solved for. In some cases, it may be more convenient to place it on one side over the other for easier calculations.

5. How do I know which side to put constant C on?

The placement of constant C depends on the context of the problem and what is being solved for. It is important to understand the properties of the equation and how it will affect the graph. In general, it is best to follow the conventions and practices of the specific field of study or the guidance of your instructor.

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