Finding the constants in an expression

In summary, the conversation discusses a formula with two unknowns, n and k, and two known value series. It is mentioned that there are two equations that can be used to solve for n and k, and it is suggested that the equation can only be solved numerically. The conversation ends with the acknowledgement that there may not be a simpler way to solve the equation.
  • #1
ArnoldEdv
2
0
I have a problem with this formula:
upload_2018-8-31_16-41-40.png

I have two known value series: A1, B1, C1 and A2, B2, C2.
That gives me two equations with two unknowns n and k.
upload_2018-8-31_16-50-51.png
upload_2018-8-31_16-51-39.png

Mentor note:
More readable versions of the two equations:
$$A_1 = \sqrt[n]{\frac{B_1} k + C_1^n}$$
and
$$A_2 = \sqrt[n]{\frac{B_2} k + C_2^n}$$
Does anyone have a clue how to solve this?
 

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  • #2
ArnoldEdv said:
I have a problem with this formula:
View attachment 230078
I have two known value series: A1, B1, C1 and A2, B2, C2.
That gives me two equations with two unknowns n and k.
View attachment 230079 View attachment 230080
Does anyone have a clue how to solve this?
You get a function ##k=k(n)## from the equations and then ##A_1^n-C_1^n=\gamma (A_2^n-C_2^n)## which I assume can only be solved numerically.
 
  • Like
Likes jedishrfu
  • #3
note: ##\gamma=\frac{B_1}{B_2}##.
 
  • #4
Thank you for your answers.
I was hoping that there was some way of solving this equation that I didn't know of.
Probably there isn't.
 

FAQ: Finding the constants in an expression

What are constants in an expression?

Constants in an expression are values that do not change and remain the same throughout the equation or problem. They are typically represented by letters such as a, b, c, etc.

How do I find the constants in an expression?

To find the constants in an expression, you can look for values that do not have variables attached to them. These values will remain the same no matter what the other variables are equal to.

Why is it important to identify the constants in an expression?

Identifying the constants in an expression is important because it allows you to simplify the equation and solve for the remaining variables. It also helps to understand the relationship between the variables and constants in the expression.

Can there be more than one constant in an expression?

Yes, there can be multiple constants in an expression. In fact, most expressions have more than one constant, as they represent values that do not change.

What is the difference between a constant and a variable?

A constant is a value that remains the same throughout the equation, while a variable is a value that can change. Variables are typically represented by letters such as x, y, z, etc. Constants are represented by letters without any variables attached.

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