Algebra

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An area, A, consisting of the sum of two squares is 1000. The side of one square is 10 less than 2/3 of the side of the other square. What are the sides of the squares?

  • Algebra -

    Let x,y be the side of each of the squares.

    x2 + y2 = 1000
    y=(2/3)x-10

    substitute (2/3)x-10 for y in the first equation:
    x2 + ((2/3)x-10)2 = 1000

    Expand and solve for the quadratic equation to get x=30 or x=-270/13.
    Reject second solution to get x=30, y=10

    See also
    http://www.jiskha.com/display.cgi?id=1246414274

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