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  1. x = ±sqrt(10)

    step-by-step explanation:

    5 - 2x² = -15

    subtract 5 from each side

    5-5 - 2x² = -15-5

    -2x^2   = -20

    divide by -2 on each side

    -2x^2   /-2= -20/-2

    x^2 =10

    take the square root on each side

    sqrt(x^2 )=±sqrt(10)

    x = ±sqrt(10)

    check:

    5 - 2x² = -15

    +sqrt(10)

    5 - 2(sqrt(10))² = -15

    5 -2(10) = -15

    5 -20 = -15

    -15 = -15

    -sqrt(10)

    5 - 2(-sqrt(10))² = -15

    5 -2(10) = -15

    5 -20 = -15

    -15 = -15

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