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calculus

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find a square root of -7-24i

  • calculus -

    referring to a standard 7-24-25 right triangle,

    (x,y) = (-7,-24)
    (r,θ) = (25,π+arctan(24/7)) = (25,4.4286)
    square root:
    (r,θ) = (5,2.2143)
    (x,y) = (-3,4)
    = -3 + 4i

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