Questions: Solve x^2=23, 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 "No solution." x=

Solve x^2=23, 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 "No solution."
x=

Transcript text: Solve $x^{2}=23$, 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 "No solution." $x=$ $\square$ No solution

Solution

Solution Steps

To solve the equation $x^2 = 23$, we need to find the real number $x$ such that when squared, it equals 23. The solutions to this equation are the positive and negative square roots of 23.

Step 1: Identify the Equation

We are given the equation $x^2 = 23$ and need to find the real number solutions for $x$.

Step 2: Solve for $x$

To solve for $x$, we take the square root of both sides of the equation. This gives us two possible solutions: \[ x = \sqrt{23} \quad \text{and} \quad x = -\sqrt{23} \]

Step 3: Calculate the Square Roots

The square root of 23 is approximately 4.7958. Therefore, the solutions are: \[ x \approx 4.7958 \quad \text{and} \quad x \approx -4.7958 \]