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Find the roots of the eqn x⁸-4x⁴+16=0 and represent them on Argand diagram?

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  • ?
    Lv 7
    2 years ago

    x⁸ - 4x⁴ + 16 = 0 is (x⁴ - (2 - 12i))(x⁴ - (2 + 12i)) = 0

    Find a solutions for x⁴ = 2 - 12i and for x⁴ = 2 + 12i, noting that each of these is one of four vertices of a square centred on the origin in the Argand diagram. You should then end up with a diagram of the roots like this:

    Attachment image
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