What are the solutions of 12 – x ^ 2 = 0 ? X = 2sqrt(3) and x = – 2sqrt(3) x = 3sqrt(2) and x = – 3sqrt(2) x = 4sqrt(3) x = – 4sqrt(3) x = 6

Question

What are the solutions of 12 – x ^ 2 = 0 ? X = 2sqrt(3) and x = – 2sqrt(3) x = 3sqrt(2) and x = – 3sqrt(2) x = 4sqrt(3) x = – 4sqrt(3) x = 6 and x = – 6

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Rose 3 weeks 2021-09-25T22:05:37+00:00 1 Answer 0

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    2021-09-25T22:07:10+00:00

    Answer:

    A. x = 2\sqrt{3} and - 2 \sqrt{3}

    Step-by-step explanation:

    The equation is:

    12 - x^2 = 0

    To solve this, move 12 to the right hand side and find its square root:

    12 = x^2\\\\=> x^2 = 12\\\\x = \sqrt{12}

    The square root of a number has two answers, a negative and a positive number of the same value:

    => x = 2\sqrt{3} and - 2 \sqrt{3}

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