Question
Find the solution to x^2 = 20
Answers
GPT-4o mini
To solve the equation \( x^2 = 20 \), you can take the square root of both sides.
Doing this gives:
\[
x = \pm \sqrt{20}
\]
You can simplify \(\sqrt{20}\):
\[
\sqrt{20} = \sqrt{4 \cdot 5} = \sqrt{4} \cdot \sqrt{5} = 2\sqrt{5}
\]
Thus, the solutions to the equation are:
\[
x = \pm 2\sqrt{5}
\]
So, the final solutions are:
\[
x = 2\sqrt{5} \quad \text{or} \quad x = -2\sqrt{5}
\]
Doing this gives:
\[
x = \pm \sqrt{20}
\]
You can simplify \(\sqrt{20}\):
\[
\sqrt{20} = \sqrt{4 \cdot 5} = \sqrt{4} \cdot \sqrt{5} = 2\sqrt{5}
\]
Thus, the solutions to the equation are:
\[
x = \pm 2\sqrt{5}
\]
So, the final solutions are:
\[
x = 2\sqrt{5} \quad \text{or} \quad x = -2\sqrt{5}
\]