How can I solve a complex conjugate problem for my friend in college algebra?

In summary, the user was struggling with a problem for their friend in college algebra, involving finding the quotient and expressing it in standard form. They attempted to solve it by multiplying both the top and bottom by the conjugate twice and got -11/6 + 3i/2, but the correct answer was -11/6 - 3i/2.
  • #1
camilus
146
0

Homework Statement


sun, I don't know why I am stuggling with a simple freakin problem. Its not even for me its for my friend who's in college algebra, but for some reaon I can't get the correct answer.

[tex]{9 - 11i \over 6i}[/tex]

The Attempt at a Solution


I multiplied by the conjugate twice and got -11/6 + 3i/2
 
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  • #2
camilus said:

Homework Statement


sun, I don't know why I am stuggling with a simple freakin problem. Its not even for me its for my friend who's in college algebra, but for some reaon I can't get the correct answer.

[tex]{9 - 11i \over 6i}[/tex]

The Attempt at a Solution


I multiplied by the conjugate twice and got -11/6 + 3i/2

What is it exactly that your trying to find?
 
  • #3
find the quotient and express your answer in standard form.
 
  • #4
camilus said:
[tex]{9 - 11i \over 6i}[/tex]

The Attempt at a Solution


I multiplied by the conjugate twice and got -11/6 + 3i/2

Hi camilus! :smile:

(you mean "I multiplied both top and bottom by the conjugate" :wink:)

-11/6 is right. :smile:

3i/2 isn't. :cry:
 
  • #5
thanks tim, I got the answer already. its -3i/2.
 

1. What is a complex conjugate?

A complex conjugate is a pair of complex numbers that have the same real part but opposite imaginary parts. For example, the complex conjugate of 3+4i is 3-4i.

2. What is the complex conjugate problem?

The complex conjugate problem is a mathematical problem that involves finding the complex conjugate of a given complex number. This is often used in complex analysis and engineering applications.

3. How do you find the complex conjugate of a complex number?

To find the complex conjugate of a complex number, you simply change the sign of the imaginary part. For example, if the complex number is 2+3i, the complex conjugate would be 2-3i.

4. Why is finding the complex conjugate important?

Finding the complex conjugate is important because it allows us to simplify complex calculations involving complex numbers. It also helps us to find the roots of complex polynomials and solve certain types of equations.

5. Can a complex number be its own complex conjugate?

Yes, a complex number can be its own complex conjugate if the imaginary part is equal to zero. For example, 5+0i is its own complex conjugate.

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