# How do you solve #11 + sqrt(2x+1)=2#?

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It was suggested I post this

It was suggested I post this

##### 4 Answers

No solutions.

#### Explanation:

Our goal is to isolate

We see that the equation has no solutions because the radical operator over

The answer is no solution.

#### Explanation:

Your goal here is to isolate the variable.

First, start by subtracting 2 from both sides, as such:

Then subtract 9 from both sides:

Now square both sides:

Then subtract 1 from both sides:

Finally, divided both sides by 2:

Plug the answer into the original equation to check if it is correct:

When plugged in, we can see that

No Real Solution

#### Explanation:

Begin by subtracting

Square both sides to eliminate the radical on the left side

Subtract

Divide both side by

However if we verify this by substituting

No solution for principle root

The convention is; that unless the question states

#### Explanation:

**However, just for fun; lets investigate the scenario of**

So

The convention states :

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Given:

Write as

Subtract 11 from both sides

Clearly

However

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Square both sides

Which is not the the answer for the given question as written.

The graph clearly shows no solution for

If the question **had been**