I have this equation x^3 + ax^2 + bx + c

I know x = 3/(7^(1/3) - 2) is a solution.

How can I find a, b, c when they are all integers?

Printable View

- May 27th 2007, 04:11 PMhsmath1918third-degree polynomial integer coefficients
I have this equation x^3 + ax^2 + bx + c

I know x = 3/(7^(1/3) - 2) is a solution.

How can I find a, b, c when they are all integers? - May 27th 2007, 06:21 PMThePerfectHacker
- May 27th 2007, 06:41 PMSoroban
Hello, hsmath1918!

Quote:

I have this equation: .

I know is a solution.

How can I find when they are all integers?

There may be*many*cubic equations with that solution . . . or not.

Here is one of them . . .

We have: .

. .

Cube both sides: .

Therefore, an equation is: .