Misha found that the equation - |2x - 10| - 1 = 2 had two possible solutions: x = 3.5 and x = - 6.5. Which explains whether or not her solutions are correct?

Question

Virginia Hunt

Mathematics

20 May, 14:46

Misha found that the equation - |2x - 10| - 1 = 2 had two possible solutions: x = 3.5 and x = - 6.5. Which explains whether or not her solutions are correct?

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Answers (1)

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Vaughan · Answer 1

- | 2x - 10| - 1 = 2 ... add 1 to both sides

- |2x - 10| = 3 ... divide by - 1 to get rid of the negative sign on the left

| 2x - 10 | = - 3

No need to go any farther ... this has no solutions because an absolute value cannot equal a negative number