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

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altavistard altavistard · Answer 1 · 2018-06-16T05:45:10+02:00

-|2x-10|-1=2 has NO solutions, because the absolute value function is never negative. Can be 0, can be positive, but can NOT be negative.

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tardymanchester tardymanchester · Answer 2 · 2019-02-28T05:44:40+01:00

Answer:

She is not correct.

Step-by-step explanation:

Given : Misha found that the equation [tex]- |2x-10|-1=2[/tex] had two possible solution x=3.5 and x =-6.5.

To find : Explains whether or not her solutions are correct.

Solution :

The first thing we solve the equation to get solution,

[tex]- |2x-10|-1=2[/tex]

Add 1 on both side of equation :

[tex]- |2x-10|-1+1=2+1[/tex]

[tex]- |2x-10|=3[/tex]

Multiply both sides of the equation by -1:

[tex]- |2x-10|(-1)=3(-1)[/tex]

[tex]|2x-10|=-3[/tex]

We observe that the result of the expression in absolute value is -3.

The result of an absolute value function is always greater than or equal to zero.

Which implies , the equation has no solution.

Therefore, Misha solutions were incorrect.