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PIT_PIT [208]
3 years ago
14

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 solutio

ns are correct
Mathematics
2 answers:
Pie3 years ago
5 0

Answer:

She is not correct.

Step-by-step explanation:

Given : Misha found that the equation - |2x-10|-1=2  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,

- |2x-10|-1=2

Add 1 on both side of equation :

 - |2x-10|-1+1=2+1

 - |2x-10|=3

Multiply both sides of the equation by -1:

 - |2x-10|(-1)=3(-1)

 |2x-10|=-3

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.

Vika [28.1K]3 years ago
3 0
<span>-|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.

</span>
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