The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where x
represents the smaller integer. Which equation can be factored and solved for the smaller integer?
x2 + x - 72 = 0
x2 + x + 72 = 0
x2 + 2x - 72 = 0
x2 + 2x + 72 = 0

Respuesta :

x(x + 1) = 72

Expanding the brackets, we get:

x^{2}+x=72

Subtracting 72 from both sides, gives:

x^{2}+x-72=0

This is the required equation to be factored and solved .

Answer:

x2 + x - 72=0

Step-by-step explanation:

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