Question

How do you solve `abs(k-8)=0`?

Answer 1

`k = 8`

Explanation:

The absolute value function does nothing here.

Usually if you remove a `abs` function, you put `+-` on the other side of the equation. But `+-0 = 0`. So,

`abs( k − 8 ) = 0`
`=> k - 8 = +- 0 = 0`
# => k = 8

You can verify this by drawing the graph of the function `f(x) = abs ( x - 8 )` and noting that the point where it meets the x-axis is unique.