SOLUTION: Write an absolute value equation that has the solutions x=2 x=2 and x=9

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Question 1122942: Write an absolute value equation that has the solutions
x=2
x=2
and
x=9

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Write an absolute value equation that has the solutions
highlight%28cross%28x=2%29%29
x=2
and
x=9
~~~~~~~~~~~~~~~~~~~~~


                Pay attention on how I edited your post in order for it makes sense.


Solution

Your equation is THIS :


|x - 5.5| = 3.5.    (*)


Notice that 5.5 is the mid-point between 2 and 9:   5.5 = %282%2B9%29%2F2,


and the equation (*)  says that the points x= 2  and  x= 9  are equally remoted at the distance of  3.5  from their mid-point.


Also notice that  3.5 is the half of the distance 9-2 = 7 between the given points (the given values)  x= 2  and  x= 9.

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When you will get another similar problem next time, do it in the same way.