SOLUTION: 1. 1 + i divided by 3 - 2i =
2. x{2} - 3 = 0
3. 4 divided by 5 - i =
4. x{2} + 2x + 5 = 0
5. -2x{2} + 3x = 3 = 0
6. x{2} + 3x - 2 = 0
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Question 126363: 1. 1 + i divided by 3 - 2i =
2. x{2} - 3 = 0
3. 4 divided by 5 - i =
4. x{2} + 2x + 5 = 0
5. -2x{2} + 3x = 3 = 0
6. x{2} + 3x - 2 = 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You have 2 problems with complex number division and 4 quadratic equations. I'll do one of each:
#1: To do complex number division, multiply both numerator and denominator by the conjugate of the complex number. The conjugate is formed by changing the sign on the imaginary term.
. The conjugate of is , so:
.
Use FOIL on the numerator and the factorization of the difference of two squares on the denominator, simplify the expression. Remember that ,
. Done.
#4.
Use the quadradic formula
,
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