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PLS HELP ASAP PLSSSSSS

PLS HELP ASAP PLSSSSSS-example-1
PLS HELP ASAP PLSSSSSS-example-1
PLS HELP ASAP PLSSSSSS-example-2
User Awreccan
by
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1 Answer

3 votes

Answer:

a) |x -8| = 6

b) |x -15| = 0

Explanation:

You want the values of 'b' and 'c' for the cases where the solutions to the equation |x -b| = c are ...

  • 2 and 14
  • 15

Solutions

The solutions to |x -b| = c are the solutions to ...

x -b = c ⇒ x = b +c

x -b = -c ⇒ x = b -c

Parameters

Given the two solutions P and Q, the values of 'b' and 'c' can be found from ...

P = b +c

Q = b -c

Adding these two equations gives ...

P +Q = 2b ⇒ b = (P +Q)/2

Subtracting the second equation from the first gives ...

P -Q = 2c ⇒ c = (P -Q)/2

a) Solutions 2 and 14

b = (2 +14)/2 = 8

c = (14 -2)/2 = 6

The equation is ...

|x -8| = 6

b) Solutions 15 and 15

b = (15 +15)/2 = 15

c = (15 -15)/2 = 0

The equation is ...

|x -15| = 0

User Karl
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