Questions with answers on
complex numbers. In what follows i denotes the imaginary unit defined by i = sqrt ( -1 ).
Question 1:Add and express in the form of a complex number a + b i.
(2 + 3i) + (-4 + 5i) - (9 - 3i) / 3
Question 2:Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Question 3:Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)
Question 4:Find the complex conjugate to.
1 + 8i
Question 5:Express in the form of a complex number a + b i.
(-5 - i)(- 7 + 8i) / (2 - 4i)
Question 6:Express in the form of a complex number a + b i.
- (7 - i)(- 4 - 2i)(2 - i)
Question 7:Express in the form of a complex number a + b i.
i / (1 - i)
Question 8:Solve for x and y where x and y are real numbers.
2 y + i x = 4 + x - i
Question 9:Find a and b, where a and b are real numbers so that
a + i b = (2 - i)^{2}
Question 10:Find the complex conjugate to
- 3 i
Solution to Above Questions.
question 1: -5 + 9 i
question 2: -4 - 52 i
question 3: -2 / 25 + (11 / 25) i
question 4: 1 - 8 i
question 5: 109 / 10 + (53 / 10) i
question 6: 70 - 10 i
question 7: -1 / 2 + i / 2
question 8: x = -1 , y = 3 / 2
question 9: a = 3 , b = -4
question 10: 3 i
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