Question

mai is solving the equation (x-5)=0, she writes that the solutions are x=5 and x=-5. Han looks at her work and disagrees. he says that only x=5 is a solution. who do you agree with? explain your reasoning.

Answer 1

Hey there, im assuming the parenthesis are absolute Value

Han is correct!

Explanation:

|x-5|=0

possible solution are the opposite of -5, which is 5

|5-5|=0 (true)

If it was -5,

|-5-5|≠0, it equals 10