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April 18, 2014

Homework Help: Algebra 2

Posted by Brian on Friday, February 8, 2008 at 8:00pm.

Operations with Complex Numbers

Simplify.

1. sqrt(-144)
2. sqrt(-64x^4)
3. sqrt(-13)*sqrt(-26)
4. (-2i)(-6i)(4i)
5. i13
6. i38
7. (5 2i) + (4 + 4i)
8. (3 4i) (1 4i)
9. (3 + 4i)(3 4i)
10. (6 2i)(1 + i)
11. (4i)/(3+i)
12. (10+i)/(4-i)
13. (-5 + 2i)(6 i)(4 + 3i)
14. (5-i*sqrt(3))/(5+i*sqrt(3))


15. Find the sum of
ix2 (2 + 3i)x + 2 and 4x2 + (5 + 2i)x 4i.


Solve each equation.

16. 5x2 + 5 = 0
17. 2x2 + 12 = 0
18. -3x2 9 = 0
19. (2/3)x2 + 30 = 0



Find the values of m and n that make each equation true.

20. 8 + 15i = 2m + 3ni
21. (2m + 5) + (1 n)i = -2 + 4i
22. (m + 2n) + (2m n)i = 5 + 5i

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