SOLUTION: 115.4 = (19600/8m) + (m/2) How do I solve for m?

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Question 256500: 115.4 = (19600/8m) + (m/2) How do I solve for m?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




First reduce the very ugly fraction in the first term of the RHS:



Multiply both sides by to get the out of the denominator in the first term of the RHS and to get rid of the decimal coefficient in the LHS.



Put the quadratic into standard form:



This does not factor over the rationals, so use the quadratic formula to solve. There will be two real number roots since the discriminant is positive.

John