If you know a root of a function is 2 + the square root of 3i then _____. 2 + the square root of 3i is a possible root. 2 + the square root of 3i is a known
Mathematics
julialovekassab
Question
If you know a root of a function is 2 + the square root of 3i then _____. 2 + the square root of 3i is a possible root. 2 + the square root of 3i is a known root. 2  the square root of 3i is a possible root. 2  the square root of 3i is a known root. Just finished the assignment got it wrong but the correct answer is 2  the square root of 3i is a known root
2 Answer

1. User Answers calculista
Answer:
2  the square root of 3i is a known root
Stepbystep explanation:
we know that
The conjugate root theorem states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a  bi is also a root of that polynomial
we have that
The root of a function is [tex]2+\sqrt{3}i[/tex]
so
Applying the conjugate root theorem
[tex]2\sqrt{3}i[/tex] > is also a root of the function
therefore
2  the square root of 3i is a known root

2. User Answers diegoalej130
Answer:
2  Squared 3i is a known root
Stepbystep explanation: