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15 December, 13:42

Submit A: What are the solutions to the quadratic equation x2+4=0? B: What is the factored form of the quadratic expression x2+4? Select one answer for question A, and select one answer for question B. A: x=-2 A: x=2i or x=-2i A: x=2i A: x=2 or x=-2 B: (x+2i) (x-2i) B: (x+2) (x+2) B: (x+2i) (x+2i) B: (x+2) (x-2)

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  1. 15 December, 16:29
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    A: x=2i or x=-2i

    B: (x+2i) (x-2i)

    Step-by-step explanation:

    A: Subtracting 4 from the equation gives ...

    x² = - 4

    Taking the square root gives the imaginary result (s) ...

    x = ±√ (-4) = ±2i

    So, the solutions are ...

    x = 2i or x = - 2i

    ___

    B: If x=a is a solution to a quadratic equation, then (x-a) is a factor of it. The factored form of the equation is ...

    (x - 2i) (x + 2i) = 0

    So the factored form of the expression on the left can be written as ...

    (x+2i) (x-2i)
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