SOLUTION: Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.) {{{rm=t^2-mt}}} for t

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Question 48149: Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)
rm=t%5E2-mt for t
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve fot t:
rm+=+t%5E2-mt You can use the quadratic formula or "complete the square" to solve this: Let's use the quadratic formula: x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
First put your equation into the standard form:
t%5E2-mt-mr+=+0 Here, a = 1, b = -m, and c = -rm
t+=+%28-%28-m%29%2B-sqrt%28%28-m%29%5E2-4%281%29%28-rm%29%29%29%2F2%281%29 It looks complicated but we can simplify it a bit.
t=%28m%2B-sqrt%28m%5E2%2B4rm%29%29%2F2 or, if you like:
t+=+%28m%2F2%29%2B-sqrt%28m%5E2%2B4rm%29%2F2