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20 March, 02:59

If i^2 = - 1 and x = i + 9, which is the result of squaring x?

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  1. 20 March, 03:02
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    80 + 18i

    Step-by-step explanation:

    i² = - 1

    x = i + 9

    x² = (i + 9) ²

    Applying; (a + b) ² = a² + 2ab + b² concept,

    x² = i² + 18i + 81

    We know that i² = - 1

    So x² = - 1 + 18i + 81

    x² = 81 - 1 + 18i = 80 + 18i
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