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  • Perplex
    IB Math AIHL
    /
    Complex Numbers
    /

    Problems

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    Problem Bank - Complex Numbers

    Access custom-built, exam-style problems for complex numbers. Each problem has a full solution and mark-scheme, as well as AI grading and support.

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    13 / 34 problems visible - Upgrade to view all problems

    IB: 5
    6

    0 / 7

    Find the roots z∈C of the quadratic z2−(3+4i)z+12i=0.

    [7]
    7

    0 / 7

    The complex numbers z and w satisfy the system of equations

    ⎩⎨⎧​w∗−4z∗=−8−2iz∗w​=−2i.​

    Find z and w in the form x+yi, where x,y∈Z.

    [7]
    8

    0 / 7

    The complex numbers z and w satisfy the system of equations

    ⎩⎨⎧​w∗−3z∗=−5−iz∗w​=−i.​

    Find z and w in the form x+yi, where x,y∈Z.

    [7]
    9

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