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Mathematics LibreTexts

2.4E: Complex Numbers (Exercises)

  • Page ID
    56065
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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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