Solve the quadratic equation: 2(x-3)^2-24-0

Question

Solve the quadratic equation: 2(x-3)^2-24-0

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Skylar 2 months 2021-10-03T18:27:17+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-03T18:28:31+00:00

    Answer:

    x=3+2×sqrt(3)

    x=3-2×sqrt(3)

    Step-by-step explanation:

    2(x-3)²-24=0

    2(x-3)²=24

    (x-3)²=12

    Case 1:

    x-3=sqrt(12)=2×sqrt(3)

    x=3+2×sqrt(3)

    Case 2:

    x-3=-sqrt(12)=-2×sqrt(3)

    x=3-2×sqrt(3)

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