An equation is formed of two equal expressions. The quadratic equation that can be used to find x, the smaller number is x²+x-272.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the first number be x.
Now since the two numbers are consecutive numbers the other number will be (x+1). Also, it is mentioned in the problem that the product of the two numbers is 272. Therefore, the equation that can represent the product will be,
[tex]x \times (x+1) = 272\\\\x^2 + x =272\\\\x^2 + x -272 = 0[/tex]
Thus, the quadratic equation that can be used to find x, the smaller number is x²+x-272.
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