SOLUTION: Hello, Transpose these equations to make the defined variable the subject of the formula: A) T= 3π √(W/gx) make [x] the subject B) D/x = √(f+p/f-p)

Algebra ->  Radicals -> SOLUTION: Hello, Transpose these equations to make the defined variable the subject of the formula: A) T= 3π √(W/gx) make [x] the subject B) D/x = √(f+p/f-p)       Log On


   

Question 919233: Hello,
Transpose these equations to make the defined variable the subject of the formula:
A) T= 3π √(W/gx) make [x] the subject
B) D/x = √(f+p/f-p) make [f] the subject

I am getting problems transposing these, can you show me the working also please.
Thanks very much
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You are supposed to undo what was done to the variable wanted and must do the same to both sides of the equation to maintain equality.

NOTE: THE SITE IS NOT RENDERING PROPERLY ACCORDING TO KNOWLEDGE OF ORDER OF OPERATIONS, AND BECAUSE OF IT, SOME OF THE STEPS BELOW APPEAR WRONG!

T=3pi%2Asqrt%28W%2Fgx%29%29, if meant exactly as given, then the x is NOT part of a denominator, but maybe this was not written correctly.

Multiplicative Inverse of 3pi,
T%2F%283pi%29=sqrt%28W%2Fgx%29;
Raise both sides to the 2 power, T%5E2%2F%289pi%5E2%29=W%2Fgx;
The division on the right is done before the multiplication according to operator precedence, so the x must be understood part of a numerator.

Multiplicative Inverse of W%2Fg,
%28g%2FW%29%28T%2Fpi%29%5E2%281%2F9%29=x, but you can simplify this in any manner wanted.


--------------------------------------------------------
REWRITING THE STEPS SO THEY APPEAR CORRECTLY

3pi%2Asqrt%28%28W%2Fg%29x%29=T, although this might not be what you wanted to show;
sqrt%28%28W%2Fg%29x%29=T%2F%283pi%29
%28W%2Fg%29x=%281%2F9%29%28T%2Fpi%29%5E2
x=%28g%2FW%29%281%2F9%29%28T%2Fpi%29%5E2
x=%28gT%5E2%29%2F%28W9pi%5E2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Transpose these equations to make the defined variable the subject of the formula:
A) T= 3π √(W/gx) make [x] the subject
B) D/x = √(f+p/f-p) make [f] the subject

I am getting problems transposing these, can you show me the working also please.
Thanks very much


T+=+3pi+%2A+sqrt%28W%2Fgx%29

T%2F%283pi%29+=+sqrt%28W%2Fgx%29 ------ Dividing both sides by 3pi

%28T%2F%283pi%29%29%5E2+=+%28sqrt%28W%2Fgx%29%29%5E2 ----- Squaring both sides

T%5E2%2F%289pi%5E2%29+=+W%2Fgx

T%5E2gx+=+9pi%5E2+%2AW ------- Cross-multiplying

highlight_green%28highlight_green%28x+=+%289pi%5E2W%29%2F%28T%5E2g%29%29%29

Use the same concept to solve the 2nd equation for the variable.