Ohan 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? a) he is correct because both solutions satisfy the equation. b) he is not correct because he made a sign error. c) he is not correct because there are no solutions. d) he is not correct because there is only one solution: x = 5.

Question

Jellybean

Mathematics

19 October, 11:35

Ohan 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? a) he is correct because both solutions satisfy the equation. b) he is not correct because he made a sign error. c) he is not correct because there are no solutions. d) he is not correct because there is only one solution: x = 5.

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Answers (1)

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Mohamed Stout · Answer 1

-2 | 8-x| - 6 = - 12 ... add 6 to both sides

-2 |8-x| = - 12 + 6

-2 |8-x| = - 6 ... divide both sides by - 2

|8-x| = - 6/-2

|8-x| = 3

8 - x = - 3 - (8 - x) = - 3

-x = - 3-8 - 8 + x = - 3

-x = - 11 x = - 3 + 8

x = 11 x = 5

not correct ... sign error