If `x^(2)-10=-1`, what is x?

Answer

To solve the equation \( x^2 - 10 = -1 \), we will follow these steps:

### Step 1: Rewrite the equation
Start with the given equation:
\[ x^2 - 10 = -1 \]

### Step 2: Move -10 to the right side
Add 10 to both sides of the equation to isolate \( x^2 \):
\[ x^2 = -1 + 10 \]

### Step 3: Simplify the right side
Now simplify the right side:
\[ x^2 = 9 \]

### Step 4: Take the square root of both sides
To find \( x \), take the square root of both sides:
\[ x = \pm \sqrt{9} \]

### Step 5: Calculate the square root
The square root of 9 is:
\[ x = \pm 3 \]

### Final Answer
Thus, the values of \( x \) are:
\[ x = 3 \quad \text{or} \quad x = -3 \]

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