The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.

Given:

The product of two consecutive numbers is 72.

To find:

The two numbers by using the quadratic equation.

Solution:

Let the two consecutive numbers are x and (x+1).

The product of two consecutive numbers is 72.

Splitting the middle term, we get

Using zero product property, we get

and

and

If , then

If , then

Therefore, the two consecutive numbers are either 8,9 or -9,-8.

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explanation:

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