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    Topics || Problems

    Find two consecutive odd integers whose product is 1023.

    Let x be the first odd integer and x + 2 be the second intger.

    \(x(x+2) = 1023\)

    \(x^2 +2x = 1023\)

    \(x^2 +2x -1023 =0 \)

    \((x+33)(x-31) =0 \)

    \(x_1 =-33 \)

    \(x_2 =31 \)

    The first integer is 31 and the second integer is 33.