pr3tz81scut2
pr3tz81scut2 pr3tz81scut2
  • 11-12-2018
  • Mathematics
contestada

Solve for u: u/p + u/q =m, if , p≠−q

Respuesta :

emeenalqabani
emeenalqabani emeenalqabani
  • 11-12-2018
u/p + u/q = m

uq/pq + up/pq = m

u^2pq/pq =m

u^2 = m
u = sqrt(m)
Answer Link
joaobezerra joaobezerra
  • 16-12-2019

Answer:

The solution for u is:

[tex]u = \frac{mpq}{q+p}[/tex]

Step-by-step explanation:

The first step to solve this problem is finding the least common multiplicator between p and q, that is pq, so:

[tex]\frac{u}{p} + \frac{u}{q} = m[/tex]

[tex]\frac{uq + up}{pq} = m[/tex]

[tex]uq + up = mpq[/tex]

[tex]u(q + p) = mpq[/tex]

[tex]u = \frac{mpq}{q+p}[/tex]

Answer Link

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