Problem

Solve $x^{2}=25$, where $x$ is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Answer

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Answer

Final Answer: The solutions to the equation $x^{2}=25$ are $x=5$ and $x=-5$. So, the final answer is \(\boxed{5, -5}\).

Steps

Step 1 :The given equation is a simple quadratic equation, $x^{2}=25$, where $x$ is a real number.

Step 2 :The solutions to the equation $x^{2}=25$ are the square roots of 25.

Step 3 :Since the square root of a number n is defined as a number that when squared gives n, the solutions to the equation are $x=\sqrt{25}$ and $x=-\sqrt{25}$.

Step 4 :The square root of 25 is 5, so the solutions are $x=5$ and $x=-5$.

Step 5 :Final Answer: The solutions to the equation $x^{2}=25$ are $x=5$ and $x=-5$. So, the final answer is \(\boxed{5, -5}\).

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