Sum of squares of two natural numbers is 106. Square of smaller number is seven more than two times of bigger number. Find the numbers.

Question

Sum of squares of two natural numbers is 106. Square of smaller number is seven more than two times of bigger number. Find the numbers.

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Valentina 3 days 2021-11-25T06:03:21+00:00 1 Answer 0 views 0

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    2021-11-25T06:05:06+00:00

    Step-by-step explanation:

    x^2+y^2=106

    y^2=2x+7

    and theny^2=106-x^2

    106-x^2=2×+7

    x^2-99+2X=0

    X^2+2×-99=0

    X^2+11X-9X-99=0

    X(X+11)-9(X+11)=0

    X+11=0;X-9=0

    X=-11;X=9

    HENCE we cant conclude nevative values

    y^2=2(9)+7

    =18+7

    =25

    y^2=5^2

    y=5

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