Question
Find the solutions tk x^2=24
Answers
GPT-4o mini
To solve the equation \( x^2 = 24 \), we can take the square root of both sides. However, we need to remember that there are both positive and negative solutions when taking the square root.
The solutions are:
\[
x = \sqrt{24} \quad \text{and} \quad x = -\sqrt{24}
\]
Next, we simplify \( \sqrt{24} \):
\[
\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}
\]
So the two solutions can be expressed as:
\[
x = 2\sqrt{6} \quad \text{and} \quad x = -2\sqrt{6}
\]
Therefore, the solutions to the equation \( x^2 = 24 \) are:
\[
x = 2\sqrt{6} \quad \text{and} \quad x = -2\sqrt{6}
\]
The solutions are:
\[
x = \sqrt{24} \quad \text{and} \quad x = -\sqrt{24}
\]
Next, we simplify \( \sqrt{24} \):
\[
\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}
\]
So the two solutions can be expressed as:
\[
x = 2\sqrt{6} \quad \text{and} \quad x = -2\sqrt{6}
\]
Therefore, the solutions to the equation \( x^2 = 24 \) are:
\[
x = 2\sqrt{6} \quad \text{and} \quad x = -2\sqrt{6}
\]