Question

Prove that the equation x ^ 4 +2 x ^ 3 +2 x ^ 2 +1 = 0 has no solution.

Answer 1

WELL first factor it into two quadratic equation

Answer 2

Can u?

Answer 3

no :(

Answer 4

will you help me with this?

Answer 5

Yep....

Answer 6

No real solutions...

Answer 7

Yeah NO real solutions...... we need to PROVE THAT.

Answer 8

Well, what does Descartes Rule of Signs say about the positive roots?

Answer 9

?

Answer 10

i don't know :(

Answer 11

The number of possible positive roots is given by the number of sign changes.....

Answer 12

use quadratic equation to solve for the inner terms and thus you may get an imaginary number, if you do get an imaginary number, then it does not exist in the real number.