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

Question 256500: 115.4 = (19600/8m) + (m/2) How do I solve for m?
Answer by solver91311(24713) (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

RELATED QUESTIONS
5/8m+4=69 how to solve for m?... (answered by rfer)

solve for m... (answered by jim_thompson5910)

How do I simplify this expression? 8m^2 - 5mz + 4mz - m^2 + 4 (answered by jim_thompson5910)

I do not understand how to solve for m? Please help! x(m+2)+y(m-8)=... (answered by solver91311)

Solve for m: m^2 - 8m +... (answered by checkley71)

m^2+7m+12/m^2-8m+16 + m+3/m^2-16 =(m+3)(m+4)/(m-4)(m-4)+(m+3)/(m-4)(m-4)... (answered by Edwin McCravy)

solve -8m-[3(11-4 m)+2]=9m (answered by drk)

solve 8m^2+20m=12 for m by factoring. (answered by josgarithmetic,Alan3354,ikleyn)

I submitted this problem once, but it ran together. I will try again, for i want you to... (answered by Alan3354)