Falconator303 Falconator303
  • 02-09-2020
  • Mathematics
contestada

Write an absolute value equation that has the solutions $x=8$ and $x=18$

Respuesta :

surjithayer10 surjithayer10
  • 02-09-2020

Answer:

Step-by-step explanation:

Let |x-a|=b

then x-a=±b

so x-a=b

or x=a+b

so a+b=18   ...(1)

and x-a=-b

or x=a-b

or a-b=8   ...(2)

adding (1) and (2)

2a=26

a=26/2=13

subtract (2) from (1)

2b=10

b=10/2=5

|x-13|=5

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