Question

PLEASE HELPPPP : Solve given the root indicated:
Equation: x4 - 5x2 - 10x - 6 = 0

Root: -1 + i

Answer 1

A polynomial with real coefficcients that had complex roots, the complex roots come in complex conjugate pairs. If -1 + i is a root, then -1 - i is also a root.

Answer 2

@mathstudent55 these are the possible answers that the question lists:

{3, 1, -1, ±i} {-1 ± i, 3, -1}
{3, -1, -1 + i} {-1, -i, i, 1}

Answer 3

A {3, 1, -1, ±i}
B {-1 ± i, 3, -1}
C {3, -1, -1 + i}
D {-1, -i, i, 1}

Answer 4

Since -1 + i is a solution, -1 - i is also a solution. Which is the only choice that has both -1 + i and -1 - i listed?

Answer 5

@mathstudent55 I guess D because I'm assuming you meant "+1 -i is also a solution" right? Maybe? lol idk

Answer 6

D doesn't even include the solution you were given, -1 + i. How can it be correct?
D list 4 solutions, -1, -i, i, 1. None of those are -1 + i.

Answer 7

@mathstudent55 But all the others have a 3 and you never mentioned a 3 anywhere... no need to make me feel dumb...

Answer 8

Let's start from the beginning.
This equation is a 4th degree polynomial equation. Right?

Answer 9

@mathstudent55 No it's fine thanks anyway.

Answer 10

ok