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

Question

Mathematics

Colten Larson

17 March, 06:35

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

+3

Answers (1)

Know the Answer?

Braxton Lozano · 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