Answer
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Step 1:I'll solve the equation x^{2} = 5 step by step:
Step 2:: Identify the Problem
We need to solve the equation $$x^{2} = 5$$ to find the values of x that satisfy this equation.
Step 3:: Take the Square Root of Both Sides
x = \pm\sqrt{5}
To solve for x, we need to take the square root of both sides of the equation.
Step 4:: Simplify the Square Root
x = \pm\sqrt{5}
The square root of 5 cannot be simplified further, so we leave it in radical form.
Step 5:: Interpret the Solution
- A negative solution: $$x = -\sqrt{5}
This means there are two solutions:
Final Answer
The solutions to the equation x^{2} = 5 are: 1. x = \sqrt{5} \approx 2.236 2. x = -\sqrt{5} \approx - 2.236
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