Author Topic: Some Calculus  (Read 885 times)

Ace

Well, not exactly, it's only part of my Calculus class, but over the summer I had completely forgotten almost everything I knew about mathematics and I could use a bit of a push. I'm stumped with this problem here:

Quote
Solve for a:

     (1/a)+(1/b)=(1/c)

It seems that no matter which way I approach this problem, I always end up with cb=0, completely eliminating a due to one side coming down to "a-a" somehow. Clearly I'm doing something wrong here but I cannot pinpoint what it is.

I could be missing something completely obvious that could solve the problem quickly, who knows.
« Last Edit: August 30, 2009, 02:40:57 PM by Ace »

Try looking for the answer in the back of your book and working backwards from there?

Ace

Try looking for the answer in the back of your book and working backwards from there?
It's on a worksheet. If it were in the book I would not have posted it here.

Code: [Select]
1/a + 1/b = 1/c
1/a = 1/c - 1/b = b/bc - c/bc = (b-c)/bc
a = bc/(b-c)

  • Get 1/a on the left side of the equation
  • Change the right side to the same denominator
  • Add up the right side
  • Invert both sides of the equation

Ace

Ah thank you, it seems surprisingly simple now. I hadn't thought of isolating 1/a first.

this is hurting my brain