Question
Write an absolute value equation that has the solutions x = -6 and x = 10
Answers
There are no human answers yet.
Answered by
GPT 3.5
An absolute value equation that has the solutions x = -6 and x = 10 can be written as:
|x - a| = 16
where a is a constant value.
To find the value of a, let's substitute the first solution, x = -6 into the equation:
|-6 - a| = 16
Since |-6 - a| = |6 + a|, we can rewrite the equation as:
|6 + a| = 16
Since x = -6 is a solution, this equation states that the distance between 6 and a is 16, which means that a must be 10 to satisfy this equation.
Therefore, the absolute value equation that has the solutions x = -6 and x = 10 is:
|x - 10| = 16
|x - a| = 16
where a is a constant value.
To find the value of a, let's substitute the first solution, x = -6 into the equation:
|-6 - a| = 16
Since |-6 - a| = |6 + a|, we can rewrite the equation as:
|6 + a| = 16
Since x = -6 is a solution, this equation states that the distance between 6 and a is 16, which means that a must be 10 to satisfy this equation.
Therefore, the absolute value equation that has the solutions x = -6 and x = 10 is:
|x - 10| = 16
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.