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

Question

Darya

4 days 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 [11.8K] · Answer 1 · 2026-04-06T00:04:42+03:00

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 [12.1K] · Answer 2 · 2026-04-06T00:06:25+03:00

Inessa [12.1K]4 days 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.

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