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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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








,