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

1 Answer
Aug 2, 2015

Answer:

# 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.