2.4.0: Complex Numbers (Exercises)

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. \(\frac{3+7 i}{i}\)

---