SOLUTION: Make R2 the subject of the formula and simplify 1/r=1/r^1+1/r^2

Algebra ->  Expressions-with-variables -> SOLUTION: Make R2 the subject of the formula and simplify 1/r=1/r^1+1/r^2      Log On


   

Question 1023113: Make R2 the subject of the formula and simplify
1/r=1/r^1+1/r^2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You did not write the equation that you have. Your shown equation, 1/r=1/r^1+1/r^2, means 1%2Fr=1%2Fr%5E1%2B1%2Fr%5E2, and has no such "R2".

Write the equation properly; most likely 1/r=1/r[1]+1/r[2] if pure text to be rendered in this online site; and would be 1%2Fr=1%2Fr%5B1%5D%2B1%2Fr%5B2%5D when given the rendering tags.

Solving for r%5B2%5D will use your already-learned fraction or rational expressions skills. The needed skills do not change once you begin using variables instead of plain constant real numbers.

1%2Fr-1%2Fr%5B1%5D=1%2Fr%5B2%5D

%281%2Fr%29%28r%5B1%5D%2Fr%5B1%5D%29-%281%2Fr%5B1%5D%29%28r%2Fr%29=1%2Fr%5B2%5D

%28r%5B1%5D-r%29%2F%28r%2Ar%5B1%5D%29=1%2Fr%5B2%5D

Their reciprocals will also be equal...

highlight%28r%5B2%5D=%28r%2Ar%5B1%5D%29%2F%28r%5B1%5D-r%29%29