Problem

? QUESTION

Solve $x^{2}=18$, where $x$ is a real number. Simplify your answer as much as possible

Answer

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Answer

Final Answer: The solutions to the equation $x^{2}=18$ are $x = \boxed{4.242640687119285}$ and $x = \boxed{-4.242640687119285}$.

Steps

Step 1 :The question is asking for the value of $x$ that satisfies the equation $x^{2}=18$. This is a simple quadratic equation, and we can solve it by taking the square root of both sides. However, we need to remember that the square root of a number has two possible values: one positive and one negative. Therefore, the equation will have two solutions.

Step 2 :Taking the square root of both sides, we get $x = \sqrt{18}$ and $x = -\sqrt{18}$.

Step 3 :Solving for $x$, we get $x = 4.242640687119285$ and $x = -4.242640687119285$.

Step 4 :Final Answer: The solutions to the equation $x^{2}=18$ are $x = \boxed{4.242640687119285}$ and $x = \boxed{-4.242640687119285}$.

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