SOLUTION: S=wd/h(h-d/2) make h the subject

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Question 1190846: S=wd/h(h-d/2) make h the subject
Found 3 solutions by ankor@dixie-net.com, MathLover1, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume it is, (brackets help clarify things)
S=%28%28wd%29%2Fh%29%28%28h-d%29%2F2%29 make h the subject
multiply by 2h, get rid of the annoying fraction
2hS = wd(h-d)
2hS = wdh - wd^2
2hS - wdh = -wd^2
factor out h
h(2S - wd) = -wd^2
h = -%28wd%5E2%29%2F%28%282S-wd%29%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

S=%28wd%29%2Fh%28h-d%2F2%29...... make h the subject

S%28h%28h-d%2F2%29%29=%28wd%29

h%28h-d%2F2%29=%28wd%29%2FS

h%5E2-%28d%2F2%29h=%28wd%29%2FS........complete square on left side

%28h%5E2-%28d%2F2%29h%2Bb%5E2%29-b%5E2=%28wd%29%2FS........b=%28d%2F2%29%2F2=d%2F4

%28h%5E2-%28d%2F2%29h%2B%28d%2F4%29%5E2%29-%28d%2F4%29%5E2=%28wd%29%2FS

%28h-d%2F4%29%5E2-d%5E2%2F16=%28wd%29%2FS

%28h-d%2F4%29%5E2=%28wd%29%2FS%2Bd%5E2%2F16

h-d%2F4=sqrt%28%28wd%29%2FS%2Bd%5E2%2F16%29

h=sqrt%28%28wd%29%2FS%2Bd%5E2%2F16%29%2Bd%2F4



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You got 2 different solutions, both of which are correct, because your entry is ambiguous.
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Use parentheses. They're free.