the SUM OF squares of two consecutive positive integers is 313 find the number​

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the SUM OF squares of two consecutive positive integers is 313 find the number​

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Hadley 1 month 2021-08-15T07:31:43+00:00 2 Answers 0 views 0

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    2021-08-15T07:32:44+00:00

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    The sum of square of two consiquative natural number is 313.find the number?

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    BAXTHUM8 eNotes educator | CERTIFIED EDUCATOR

    Let 1 number be x . Since the numbers are consecutive, the other number would be x + 1.

    Square both and add together to equal 313.

    x^2 + (x+1)^2 = 313

    x^2 + x^2 + 2x + 1 = 313

    2x^2 + 2x – 312 = 0

    x^2 + x – 156 = 0

    (x – 12)(x + 13) = 0

    x = 12, x = -13

    Since the number are defined to be natural, x = -13 is not a solution.

    Therefore, x = 12 , and x+1 = 13 .

    The two numbers are 12 and 13.

    12^2 + 13^2 = 313

    pls mark as brainalist

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    2021-08-15T07:33:33+00:00

    Answer:

    234

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