Rearrange Equation

[CBORDINO]

Hi everyone, Im new and im crap at this, can anyone help and explain?

Rearrange Equation
L = 4πCX d^2
to make d the subject
Show all workings???

Thanks xx

 

[SonicMan]

Sounds like A level Maths to me. Never could understand that subject.

 

[Dronee]

Usually, you can just (1) Put all the terms without d (the intended subject) on one side and all others with d (the intended subject) on the other side of the equation... but in this case, that is already done for us.

(2) Next, we factorize or "pull out" d or d^2.. or d^3... etc from the side that has d...

So L = d^2 (4nCX)

(3) Divide throughout by 4nCX (we usually assume here that 4nCX does not equal zero.. though we usually do not need to state)... yielding

L / (4nCX) = d^2

(4) Take square root or cube root (or nth root as necessary) on both sides, we have

(L / (4nCX)) ^ (1/2) = d .......... (just to make it nicer... put the d on the left)

<=> d = (L / (4nCX)) ^ (1/2)

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The steps above should work for many standard "change the subject questions" though you may have to improvise a little if it's more complicated. Hopefully, my workings are correct and it's useful.

 

[CBORDINO]

where did the half come from? xx

 

[vitalis]

OMG, where was this forum when I studied? lol

 

[divethruhaze]

to remove the square (^2), you have to take the square root of both sides.
Square root = (^1/2)

 

[Dronee]

where did the half come from? xx

Divethruhaze has already answered it, but perhaps this will make it more clear.

L / (4nCX) = d^2 ............. we apply square root to BOTH sides of the equation

(L/ (4nCX)) ^ (1/2) = (d^2) ^ (1/2)

(L/ (4nCX)) ^ (1/2) = d

..... because the square root of a number squared is the number itself.

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For high school standard and slightly above that, this is usually sufficient.