What is the value of x
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Answer:
The two consecutive integers are 6 and 8 or -8 and -6.
Step-by-step explanation:
The product of two consecutive even integers is 48, and we want to find the two integers.
We will let <em>x</em> represent the first even integer.
Then the consecutive even integer will be (<em>x</em> + 2).
Its product is 48. Therefore:
Solve for <em>x</em>. Since this is a quadratic, we should get one side to equal to 0. Expand:
Subtract 48 from both sides:
Factor:
Zero Product Property:
Solve for each case:
Therefore, our two consecutive integers are 6 and 8 or -8 and -6.