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

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


   



Question 43661: Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)
rm+=+t%5E2+-+mt for t

Found 2 solutions by psbhowmick, Nate:
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
rm+=+t%5E2+-+mt
or t%5E2+-+mt+-+rm+=+0
This is a quadratic equation in 't'.
Comparing with standard quadratic equation: ax%5E2+%2B+bx+%2B+c+=+0
a = 1, b = -m, c = -rm
Use the quadratic formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+.
Here, 'x' is replaced by 't'.
So, t+=+%28-%28-m%29+%2B-+sqrt%28+%28-m%29%5E2-4%2A1%2A%28-rm%29+%29%29%2F%282%2A1%29+
or t+=+%28m+%2B-+sqrt%28+m%5E2+%2B+4rm%29%29%2F2+

Answer by Nate(3500) About Me  (Show Source):