I need someone to help me with this problem. I've been on this for hours and knowing that i don't know how to solve this problem did not allow me to sleep well last night. Although i have a working that for some reason arrives at the correct answer, but i doubt that is the correct approach to solve the problem. The original idea i had, which seemed like the most logical and correct way to solve the problem for some reason was no where near getting me to the answer so i tried some other unorthodox method (i think) which finally got me to the answer but i did some things that i think breaks some rules of basic arithmetic manipulations.

The first picture is the problem, the second picture is the solution which i think is wrong and might not work for some similar problems but gets to the correct answer for this particular problem ,the third picture is the original approach which i thought was the most logical approach but for some reason, i got stuck at some point and had no more ideas, and the fourth picture is the correct answer to the problem. I just need someone to make me understand how to correctly get to the right answer

MasterTeeUSA
NDSMELODY
nlfpmod
mynd44
farano
dominique
Fynestboi
olawalebabs
Richiez

turmacs:
I need someone to help me with this problem. I've been on this for hours and knowing that i don't know how to solve this problem did not allow me to sleep well last night. Although i have a working that for some reason arrives at the correct answer, but i doubt that is the correct approach to solve the problem. The original idea i had, which seemed like the most logical and correct way to solve the problem for some reason was no where near getting me to the answer so i tried some other unorthodox method (i think) which finally got me to the answer but i did some things that i think breaks some rules of basic arithmetic manipulations.

The first picture is the problem, the second picture is the solution which i think is wrong and might not work for some similar problems but gets to the correct answer for this particular problem ,the third picture is the original approach which i thought was the most logical approach but for some reason, i got stuck at some point and had no more ideas, and the fourth picture is the correct answer to the problem. I just need someone to make me understand how to correctly get to the right answer

MasterTeeUSA
NDSMELODY
nlfpmod
mynd44
farano
dominique
Fynestboi
olawalebabs
Richiez

Where you should look into is that place you started with

K^2 -M^2

Now ( K - M )^2

Remember that (a-b)^2 = a^2 - 2ab + b^2

Now replace (K - M)^2 with that. Remember that = K^2 - 2kM + M^2

K^2 - 2KM + M^2 = K/C - M/K

I believe you can solve it from here.


K/C = K^2 - 2KM + M^2 + M/K

Multiply all through with C

k = K^2 C - 2KMC + M^2 C + M/K (C)

Factorize C from the right hand side.

K = C ( K^2 - 2KM + M^2 + M/K )

Making C as the subject formulae

C = K / ( K^2 - 2KM + M^2 + M/K )

Carry on from there.

Remember to simplify because of that M/K

This solution is CORRECT

turmacs:
I need someone to help me with this problem. I've been on this for hours and knowing that i don't know how to solve this problem did not allow me to sleep well last night. Although i have a working that for some reason arrives at the correct answer, but i doubt that is the correct approach to solve the problem. The original idea i had, which seemed like the most logical and correct way to solve the problem for some reason was no where near getting me to the answer so i tried some other unorthodox method (i think) which finally got me to the answer but i did some things that i think breaks some rules of basic arithmetic manipulations.

The first picture is the problem, the second picture is the solution which i think is wrong and might not work for some similar problems but gets to the correct answer for this particular problem ,the third picture is the original approach which i thought was the most logical approach but for some reason, i got stuck at some point and had no more ideas, and the fourth picture is the correct answer to the problem. I just need someone to make me understand how to correctly get to the right answer

MasterTeeUSA
NDSMELODY
nlfpmod
mynd44
farano
dominique
Fynestboi
olawalebabs
Richiez

This is the right answer and correct steps...

turmacs:
I need someone to help me with this problem. I've been on this for hours and knowing that i don't know how to solve this problem did not allow me to sleep well last night. Although i have a working that for some reason arrives at the correct answer, but i doubt that is the correct approach to solve the problem. The original idea i had, which seemed like the most logical and correct way to solve the problem for some reason was no where near getting me to the answer so i tried some other unorthodox method (i think) which finally got me to the answer but i did some things that i think breaks some rules of basic arithmetic manipulations.

The first picture is the problem, the second picture is the solution which i think is wrong and might not work for some similar problems but gets to the correct answer for this particular problem ,the third picture is the original approach which i thought was the most logical approach but for some reason, i got stuck at some point and had no more ideas, and the fourth picture is the correct answer to the problem. I just need someone to make me understand how to correctly get to the right answer

MasterTeeUSA
NDSMELODY
nlfpmod
mynd44
farano
dominique
Fynestboi
olawalebabs
Richiez

here is the solution with stepwise procedures, just check it gently and you will get it simple.

Here's the solution

To make **c** the subject of the relation **k-m= √ k/c -m/k**, we can follow the steps below:

1. Square both sides of the equation to get rid of the square root: **(k-m)^2 = k/c - m/k**.
2. Multiply both sides of the equation by **c** to eliminate the fraction: **c(k-m)^2 = k - m(c/k)**.
3. Expand the left-hand side of the equation: **c(k^2 - 2km + m^2) = k - m(c/k)**.
4. Move all the terms containing **c** to the left-hand side of the equation: **ck^2 - 2ckm + cm^2 = k^2 - m(c/k)**.
5. Rearrange the equation to get all the terms containing **c** on one side: **ck^2 - m(c/k) - 2ckm + cm^2 - k^2 = 0**.
6. Multiply both sides of the equation by **k** to eliminate the fraction: **ck^3 - m(c) - 2ckm^2 + ckm^2 - k^3 = 0**.
7. Rearrange the equation to get all the terms containing **c** on one side: **ck^3 - k(m^2 + k^2) + m(c) = 0**.
8. Finally, solve for **c** by dividing both sides of the equation by **m**: **c = (k^4)/(m^2) - k^2 + (k^3)/(m)**.

Therefore, **c = (k^4)/(m^2) - k^2 + (k^3)/(m)** is the solution for making **c** the subject of the relation **k-m= √ k/c -m/k**.

Courtesy AI.