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Write an absolute value equation that has the solution of x=8 and x=18.

User Jake Braun
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2 Answers

5 votes

Final answer:

An absolute value equation with solutions x=8 and x=18 is |x - 13| = 5, representing the distance of x being 5 units from the midpoint 13.

Step-by-step explanation:

To write an absolute value equation with the solutions of x=8 and x=18, you want the distance between x and the midpoint of the two solutions to be equal to half the distance between the two solutions. The midpoint of 8 and 18 is 13, and half the distance between them is 5. Thus, the absolute value equation that has 8 and 18 as solutions is |x - 13| = 5. This equation means that x is 5 units away from the midpoint, on either side, which gives us the two solutions when we solve the equation:

x - 13 = 5 which gives x = 18

x - 13 = -5 which gives x = 8

User Kevingreen
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4 votes

|-8| = 8 and |18| = 18


User FooTheBar
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