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

Answer 1

# k = 8 #

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.

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Answer 2

Savannah Anderson

To solve ( |k - 8| = 0 ), set the expression inside the absolute value equal to zero and solve for ( k ):

[ k - 8 = 0 ]

[ k = 8 ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.