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1. its

6x4+11x2+4x

2. (Original post by boner in jeans)
well what do you want done with it? solve, factorise?

lol i'm new so i just put in a label..i'm sorry..uhm and i need to solve it..find x ..sorry if my english is kind of bad
3. i eventually reach

x3+11/6x+2/3 = 0

how do i continue ?
4. The question is slightly underestimated by the above posts.

Notice that is a solution.

Hence, to solve you can use either Cardano's method or Viète's substitution.

That is, by Viète, you can turn into

by letting . Solve the quadratic.
5. well that was embarrassing listen to jack
The question is slightly underestimated by the above posts.

Notice that is a solution.

Hence, to solve you can use either Cardano's method or Viète's substitution.

That is, by Viète, you can turn into

by letting . Solve the quadratic.

Can you explain it please ?
7. (Original post by tjava)
Can you explain it please ?
Which part?
Which part?

Viète's substitution
9. (Original post by tjava)
Viète's substitution
Substitute into and simplify.
You can solve the resulting quadratic to find three values of . The you find .
The question is slightly underestimated by the above posts.

Notice that is a solution.

Hence, to solve you can use either Cardano's method or Viète's substitution.

That is, by Viète, you can turn into

by letting . Solve the quadratic.
Wow, I've never heard of this method for solving cubics before. Think I'm gonna have to read up on this, looks like it could be pretty handy!
11. (Original post by tjava)
6x4+11x2+4x
Just a thought. Is this original equation correct. I ask as, if it was then it factorises nicely.

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Updated: January 5, 2013
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