Verified Answer :

meerkat18

To answer the question above, raise both sides of the equation to the power of two. 
                                (sqrt (2x + 1))² = 3²
This will simplify into,
                                     2x + 1 = 9
Solving for the value of x gives an answer of x = 4. This value is not an extraneous root as it satisfy the original equation even if it is inside the radical sign.

ashishdwivedilVT

The value of x for the given equation is ±2.

What is Extraneous Solution?

An extraneous solution is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

Here, given equation is

             \(\sqrt{2x^2+1}\) = 3

On squaring both sides, we get

            2x²+1 = 3²

            2x² + 1 = 9

           2x² = 8

            x² = 4

            x = ±2

Thus, the value of x for the given equation is ±2.

Learn more about extraneous solution from:

https://brainly.com/question/14054707

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