Solve for x in

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- February 11th 2010, 07:54 PMPunchTough algebra
Solve for x in

- February 11th 2010, 08:14 PMBacterius
OMG, did you try solving a cubic polynomial using the quadratic formula or what ? :o

Anyway, here's a start to simplification (I can't really do anything at the moment) : note that . Apply this to your equation with - February 11th 2010, 08:18 PMPunch
I didn't. It's just an equation which I got from differentiation and am required to solve it...

- February 11th 2010, 08:26 PMBacterius
That was a mean curve, eh ...

- February 11th 2010, 08:28 PMtedii

Since the top only needs to equal zero solve for this equation. This will become a lot easier when you get the denominators to match. - February 11th 2010, 08:30 PMPunch
- February 11th 2010, 08:37 PMPunch
this was what I did,

Unable to solve further... - February 11th 2010, 08:50 PMtedii
- February 11th 2010, 09:04 PMPunch
- February 11th 2010, 09:46 PMtedii
- February 11th 2010, 09:50 PMSoroban
Hello, Punch!

Quote:

I assume the original function is: /

Then: .

. . . . . . . .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Multiply top and bottom by

. . and we have: .

. . which simplifies to: .

And we have: .

. . Hence: .

But because of the in the function,

. . Therefore, the only critical value is: .

- February 12th 2010, 01:46 AMPunch