Write a quadratic equation to find two consecutive odd natural numbers whose product is 63. Then find the numbers.

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  1. easy way -- what are two factors of 63 that are close together?

    algebraic way
    x(x+2) = 63
    x^2 + 2x - 63 = 0
    Now we're back to the original question. Factors of 63 that differ by 2.

    another way
    63 = 8^2-1 = (8-1)(8+1)

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