Thread: Values 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 ?

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.

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!

Make the 2nd and 3rd element equal:

Thanks a lot paultwang!