2.4.0: Complex Numbers (Exercises)

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Dec 26, 2024
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- 2.4: Complex Numbers
- 2.5: Quadratic Equations

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For the following exercises, use the quadratic equation to solve.

26. $x^{2}-5 x+9=0$
27. $2 x^{2}+3 x+7=0$

For the following exercises, name the horizontal component and the vertical component.

28. $4-3 i$
29. $-2-i$

For the following exercises, perform the operations indicated.

30. $(9-i)-(4-7 i)$
31. $(2+3 i)-(-5-8 i)$
32. $2 \sqrt{-75}+3 \sqrt{25}$
33. $\sqrt{-16}+4 \sqrt{-9}$
34. $-6 i(i-5)$
35. $(3-5 i)^{2}$
36. $\sqrt{-4} \cdot \sqrt{-12}$
37. $\sqrt{-2}(\sqrt{-8}-\sqrt{5})$
38. $\frac{2}{5-3 i}$
39. $\frac{3+7 i}{i}$

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