For what values of a there are exactly two real numbers that satify the equation:

x^3 + (a-1)x^3 + (9-a)x - 9 = 0 ?

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- May 23rd 2005, 01:22 AMcornothValues of a
For what values of a there are exactly two real numbers that satify the equation:

x^3 + (a-1)x^3 + (9-a)x - 9 = 0 ? - May 23rd 2005, 07:34 AMpaultwang
x = { , , }

So, 1 is a real number. Now pick an 'a' such that the 2nd and 3rd element are equal.

Note: I only checked the 'a' in the real. There might be other ways of satisfying the question. - May 24th 2005, 02:44 AMcornothoops
Sorry but there's a typo, It should read

x^3 + (a-1)x^2 + (9-a)x - 9 = 0

Instead of:

x^3 + (a-1)x^3 + (9-a)x - 9 = 0

Thanks! - May 24th 2005, 09:50 AMpaultwang

Make the 2nd and 3rd element equal:

- June 19th 2005, 06:48 AMcornoth
Thanks a lot paultwang! :o