Hey guys
Solve the equation given that the sum of two of its roots is zero.
I have no idea how to solve this. I have never dealt with a quartic before.
Please, any help?
Hello, Sunyata!
Let the two roots be: .Solve the equation:
given that the sum of two of its roots is zero.
Then: .
Subtract [2] - [1]: .
. . and we have three roots: .
. . but is an exraneous root.
Hence, two of the factors are: .
Dividing , we get: .
The equation becomes: .
Therefore, the roots are: .