Solve x in Terms of c: 3x+cos 2x = c

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In summary, the conversation is about solving for x in terms of c in the equation 3x+cos 2x = c, with the additional information that there is no closed form analytic solution and that more information is needed to solve the problem. The speaker also clarifies that they will not do the homework for the person asking for help, but rather assist them in solving it themselves.
  • #1
GreenTea09
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Homework Statement



3x+cos 2x = c
c is an unknown constant.
how do i solve x in terms of c?
 
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  • #2
You can not do that analytically.
 
  • #3
Is there more to the original question?
 
  • #4
What kind of homework problem is this? If it's a real homework problem you were given some clues in your book or in your class as to how to go about solving for x.

As dirk mentioned, there is no closed form analytic way to solve for x. That doesn't mean that you can't solve for x. There are all kinds of ways to do this. Before we help you, we need to know a bit more about the problem. We don't do your homework for you at this site. We instead help you do own homework.
 

1. What does it mean to solve for x in terms of c?

Solving for x in terms of c means finding an expression or equation that represents the value of x in relation to the variable c. In this case, we are looking for an expression that shows the value of x in relation to the given equation, 3x+cos 2x = c.

2. What is the first step in solving this equation?

The first step in solving this equation is to isolate the variable term, in this case, 3x, on one side of the equation. This can be done by using algebraic operations such as addition, subtraction, multiplication, and division to move all other terms to the other side of the equation.

3. Can the variable c have any value?

Yes, the variable c can have any value since there are no restrictions mentioned in the given equation. However, the variable c must be a real number, as both 3x and cos 2x are real numbers.

4. What are the possible solutions for x in terms of c?

There can be multiple solutions for x in terms of c, depending on the value of c. The solution can be expressed as an equation, such as x = (c-cos 2x)/3, or as a simplified expression, such as x = c/3 - (cos 2x)/3. The exact solution will vary depending on the value of c.

5. How can I check if my solution is correct?

To check if your solution is correct, you can substitute the value of x back into the original equation and see if it satisfies the equation. If the value of x makes the equation true, then your solution is correct. You can also use a graphing calculator to graph both sides of the equation and see if they intersect at the given value of x.

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