Help solving an equation: Can k1*X^2+k2*X+k3 = e^(k4*X)-e^(k5X) be solved?

[Ellehcim60]

Can the following equation be solved?

[math]k1X^2+k2*X+k3 = e^(k4X)-e^(k5X)[/math]
or:

k1*X^2+k2*X+k3 = e^(k4*X)-e^(k5X)

 

[khansaheb]

Can the following equation be solved?

[math]k1X^2+k2*X+k3 = e^(k4X)-e^(k5X)[/math]
or:

k1*X^2+k2*X+k3 = e^(k4*X)-e^(k5X)

It cannot be solved exactly by ordinary algebraic methods. However, the "roots" can be estimated through numerical methods (e.g. Newton's method).

 

[Ellehcim60]

It cannot be solved exactly by ordinary algebraic methods. However, the "roots" can be estimated through numerical methods (e.g. Newton's method).

Thanks for your input!

 

[khansaheb]

Can the following equation be solved?

[math]k1X^2+k2*X+k3 = e^(k4X)-e^(k5X)[/math]
or:

k1*X^2+k2*X+k3 = e^(k4*X)-e^(k5X)

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

Have you learnt about estimating roots of functions?

Do you know the "numerical" values of k1, k2, k3, k4 & k5?

 

[Ellehcim60]

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem

Have you learnt about estimating roots of functions?

In what way have I violated the rules?

I have asked a simple and straight forward question about an equation - sorry I didn't write a full page non-sense novel about how it came about.

This is equation I have boiled down into general terms - K1, k2, k3, k4 and k5 are numbers coming from experimental trials and are derived for these data so I know them when I have carried out my research. I am simply preparing for the downstream data handling.

So the equation is where I got stuck - there is nothing more to it.

And apparently this is where it ends.

When I have derived to constants experimentally I am fully capable of solving and finding X by appropriate guessing within a defined interval, but I was merely wondering if there was some mathematical solution to the equation listed.

And you have answered that there isn't so no wonder I got stuck - and that is where it stands.

I don't get this site - The rules asks for a polite tone and patience.

But each time I'm met with impatience and "bossy" tone replies.

Typical internet impolite behavior....

PS : You don't have to reply - I think I have heard enough from you thank you!

 

[khansaheb]

When I have derived to constants experimentally I am fully capable of solving and finding X by appropriate guessing within a defined interval, but I was merely wondering if there was some mathematical solution to the equation listed.

You did NOT "say" this in your OP. You have NOT shown any work or any sign of CAPABILITY - so that we can start discussion at a "common" level.