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Darya
1 month 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:
zzz [12.3K]1 month ago
5 0

Response:

Her findings are incorrect.

Detailed explanation:

Given: Misha concluded that the equation - |2x-10|-1=2 had potential solutions of x=3.5 and x=-6.5.

To determine: An assessment of whether her solutions are valid.

Analysis:

First, we will solve the equation for the solution,

- |2x-10|-1=2

Start by adding 1 to both sides of the equation:

- |2x-10|-1+1=2+1

- |2x-10|=3

Now, multiply both sides by -1:

- |2x-10|(-1)=3(-1)

|2x-10|=-3

The outcome shows that what's inside the absolute value is -3.

The result from the absolute value function is always zero or positive.

This indicates that the equation has no solutions.

Thus, Misha's solutions are wrong.

Inessa [12.5K]1 month ago
3 0
<span>-|2x-10|-1=2 has ZERO solutions since the absolute value function cannot yield negative outcomes. It can equal 0 or be positive, but it can never be negative.

</span>
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