Question

|x-42.62|=23.37
Solve for the absolute value

Answer 1

Absolute value describes the distance between zero and the number on the numbers, without any direction being taken into consideration. A number's absolute value is never negative, and the further discussion can be defined as follows:

Given:

$\to \bold{|x-42.62|=23.37}$

To Find:

absolute value=?

Solution:

$\to \bold{|x-42.62|=23.37}$

We know either

$\to \bold{x-42.62 =23.37 \ \ or\ \ x-42.62=-23.37}$

Solving the value for x:

$\to \bold{x-42.62=23.37} \ \ \ (Possibility 1) \\\\\to \bold{x-42.62=23.37} \\\\\to \bold{x=23.37+ 42.62} \\\\\to \bold{x=65.99}$

$\to \bold{x-42.62= -23.37} \ \ \ (Possibility 2) \\\\\to \bold{x-42.62=-23.37} \\\\\to \bold{x=-23.37+ 42.62} \\\\\to \bold{x=19.25}$

So, the final value of x is "65.99 and 19.25".

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