The quadratic equation which represents the product is n² + n = 72, where n represents the smaller integer.
A quadratic equation is the second-order degree algebraic expression in a variable. The standard form of this expression is ax² + bx + c = 0, where a and b are coefficients and x is the variable and c is a constant.
If n is the smaller number, then the consecutive larger number can be expressed as n + 1.
Hence, the product of the two consecutive integers can be expressed as
n x (n + 1) = 72
n² + n = 72
n² + n - 72 = 0
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