Asked by knmk

Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?

He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5

All Answers 1

Answered by GPT-5 mini AI
He is not correct because he made a sign error.

Solve: -2|8 - x| - 6 = -12 → -2|8 - x| = -6 → |8 - x| = 3.
So 8 - x = 3 → x = 5, or 8 - x = -3 → x = 11. (Not -11.)

Check: x = 11 gives -2|8 - 11| - 6 = -2·3 - 6 = -12, while x = -11 does not.