SOLUTION: Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or an expression) that have the following solution sets:
Two solutio
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Two solutio
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Question 1072277: Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or an expression) that have the following solution sets:
Two solutions: x=1/2, x=−1/3
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Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression)
that have the following solution sets:
Two solutions: x= 1/2, x= -1/3
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Answer. b = , c = .
Plots y = (red) and y = 5/12 (green)
Solution
The problem asks to find the values "b" and "c" in a way that
the solutions of the equation |x - b| = c are x= 1/2 and x= -1/3.
It means that "b" is the center of the segment [,].
This segment has the length = = = . Hence, the half of this length is .
Therefore, the center of the segment is = = .
Thus the value of "b" is found: it is b = .
Then the value of "c" is c = = .
