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Questions and Answers
Which of the following is equivalent to the expression 2x-4y, where x=5-2i and y=-3+4i?
Which of the following is equivalent to the expression 2x-4y, where x=5-2i and y=-3+4i?
- 26-4i (correct)
- -26-4i
- 26+4i
- -26+4i
What is the value of x+y, where x=5-2i and y=-3+4i?
What is the value of x+y, where x=5-2i and y=-3+4i?
- -2+i
- -2-i
- 2+i (correct)
- 2-i
What is the value of x*y, where x=5-2i and y=-3+4i?
What is the value of x*y, where x=5-2i and y=-3+4i?
- -7+22i
- 7-22i
- 7+22i
- -7-22i (correct)
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Study Notes
Equivalence of Expressions
- The expression 2x - 4y, where x = 5 - 2i and y = -3 + 4i, has an equivalent value.
Values of x + y
- The value of x + y is (5 - 2i) + (-3 + 4i) = 2 + 2i.
Values of x * y
- The value of x * y is (5 - 2i) * (-3 + 4i) = -23 - 14i.
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