Question

How do you solve `abs(x-1.8)=3.2`?

Answer 1

See a solution process below:

Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution 1:

`x - 1.8 = -3.2`

`x - 1.8 + color(red)(1.8) = -3.2 + color(red)(1.8)`

`x - 0 = -1.4`

`x = -1.4`

Solution 2:

`x - 1.8 = 3.2`

`x - 1.8 + color(red)(1.8) = 3.2 + color(red)(1.8)`

`x - 0 = 5.0`

`x = 5.0`

The Solutions Are: `x = {-1.4, 5.0}`