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    Topics || Problems

    Find the two consecutive positive integers whose product is 506.

    Solution:

    Let x be the first integer.

    Then x+1 is the next integer.

    The product is 506

    x(x+1) = 506

    x2 + x = 506

    x2 + x - 506 = 0

    \( x_1 = \frac{-1+\sqrt{1+4(1)(506)}}{2(1)} = 22\)

    Answer: 22 and 23