SOLUTION: 1/R= 1/R1 + 1/R2 SOLVE THE EQUATION FOR R1 IN TERMS OF R AND R2. i KNOW the first step is to isolate 1/r1 1/r-1/r2=1/r1 my guess is r1= (r-r2)/r*r2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1/R= 1/R1 + 1/R2 SOLVE THE EQUATION FOR R1 IN TERMS OF R AND R2. i KNOW the first step is to isolate 1/r1 1/r-1/r2=1/r1 my guess is r1= (r-r2)/r*r2      Log On


   



Question 43240: 1/R= 1/R1 + 1/R2 SOLVE THE EQUATION FOR R1 IN TERMS OF R AND R2.
i KNOW the first step is to isolate 1/r1
1/r-1/r2=1/r1
my guess is r1= (r-r2)/r*r2

Found 2 solutions by fractalier, psbhowmick:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Actually the best first step is to clear all fractions by multiplying by the lowest common denominator...here that is r*r1*r2...so we get
1/r = 1/r1 + 1/r2
r*r1*r2[1/r = 1/r1 + 1/r2]
r1*r2 = r*r2 + r*r1 then collect terms with r1 and solve
r1*r2 - r*r1 = r*r2
r1(r2 - r) = r*r2 and finally
r1 = r*r2 / (r2 - r)

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Yes the first step is correct.
Then, 1%2Fr+-+1%2Fr%5B2%5D=1%2Fr%5B1%5D
or %28r%5B2%5D+-+r%29%2F%28r%2Ar%5B2%5D%29=1%2Fr%5B1%5D
or r%5B1%5D+=+r%2Ar%5B2%5D%2F%28r%5B2%5D+-+r%29