Discriminant

puneet · #1 $Old$ August 23rd, 2008, 05:12 AM

The discriminant of 0 = a + bx +cx^5, c is not equal to 0, is c?State true or false?Give reason?

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TKHunny · #2 $Old$ August 23rd, 2008, 06:09 AM

Is "discriminant" defined for equations of degree 5?

puneet · #3 $Old$ August 23rd, 2008, 07:06 AM

DIscriminant for cubic function is =
-4b3d + b2C2 -4ac3 +18abcd - 27 a2d2
See in wikipedia

Moo · #4 $Old$ August 23rd, 2008, 07:26 AM

Quote:

Originally Posted by puneet $View Post$

DIscriminant for cubic function is =
-4b3d + b2C2 -4ac3 +18abcd - 27 a2d2
See in wikipedia

Yes, but you wrote 0 = a + bx +cx^5, which is rather 0=a+bx+cx^3 isn't it ?

The discriminant of $mx^3+nx^2+px+q=0$ is $n^2p^2-4mp^3-4n^3q-27m^2q^2+18mnpq$

Here, m=c, n=0, p=b and q=a.
Thus the discriminant is :
$-4cb^3-27c^2a^2$
$=c(-4b^3-27ca^2)$

But I don't quite understand your question...

puneet · #5 $Old$ August 23rd, 2008, 08:07 AM

Very wrong question has been asked It is of degree 5.

Learning is like eating it is not how much you can eat but how much you can digest.