The product of two consecutive integers is 272. which quadratic equation can be used to find x, the smaller number?

a. x2 + 1 = 272

b. x2 − 1 = 272

c. x2 + x − 272 = 0

d. x2 + x + 272 = 0

Option C. x² + x - 272 = 0 is the correct option.

Step-by-step explanation:

Let the first integer is x then its consecutive integer will be (x+1).

It is given in the question that their multiplication is 272.

Therefore x.(x+1) = 272

x² + x = 272 (distribution property)

x² + x - 272 = 0

Answer C. x² + x -272 = 0 is the correct option.

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step-by-step explanation: