Which of the following is true about the solution(s) to the equation:

Radio Controlled asked Jun 24, 2023

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Radio Controlled asked Jun 24, 2023

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19 votes

Given:

$x=\sqrt[]{2x+3}$

To find the solutions:

Squaring on both sides we get,

$\begin{gathered} x^2=2x+3 \\ x^2-2x-3=0 \\ (x+1)(x-3)=0 \\ x=-1,\text{ 3} \end{gathered}$

Hence, x=3 and x= -1 are the solutions.

Therefore, the correct option is the second one.

Steve Zobell answered Jun 28, 2023

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