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18 May, 09:58

X^2 + x^2=6^2 what is x

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Answers (2)
  1. 18 May, 10:18
    0
    x=±3sqrt2

    Step-by-step explanation:

    6^2=36

    36=2 (±x^2)

    /2 / 2

    18=±x^2

    sqrt sqrt

    sqrt18=x

    sqrt18=±3sqrt2

    ±3sqrt2=x

    or

    x=±3sqrt2
  2. 18 May, 10:35
    0
    x = ±3 sqrt (2)

    Step-by-step explanation:

    x^2 + x^2=6^2

    Combine like terms

    2x^2 = 6^2

    Divide each side by 2

    x^2 = * 6^2/2

    Take the square root of each side

    sqrt (x^2) = ± sqrt (6^2/2)

    Remember that sqrt (a/b) = ±sqrt (a) / sqrt (b)

    x = ±sqrt (6^2) / sqrt (2)

    x = ±6 / sqrt (2)

    We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt (2)

    x = ±6 / sqrt (2) * sqrt (2) / sqrt (2)

    x = ±6 * sqrt (2) / (sqrt (2) * sqrt (2))

    x = ±6 sqrt (2) / (2)

    x = ±3 sqrt (2)
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