Question

The princess traces one plant’s roots to discover that it has exactly 5 roots. One of the roots she can trace to 2−3√5. At least two of the roots are the same and labeled −4.

What conclusions can the princess draw about the other two roots?

There may be more than one correct answer. Select all correct answers.

-One of the other roots is 2+ 3√5
-One of the other roots could be another −4.
-One of the other roots could be another 2− 3√5
-One of the other roots is 3+ 2√5
-One of the other roots is 3− 2√5

Answer 1

complex roots occur in conjugate pairs

given 2 - 3√5 is a root then 2 + 3√5 is also a root

one of the other roots is 2 + 3√5

there are 2 roots of - 4

one of the other roots could be another - 4