Question: Solve the Equation
11 = x² + 7
= [blank] & x = [blank]
smaller Value
Larger Value
1. **State the problem:** Solve the equation $$11 = x^2 + 7$$ for $$x$$.
2. **Isolate the variable term:** Subtract $$7$$ from both sides to isolate $$x^2$$:
$$11 - 7 = x^2 + 7 - 7$$
3. **Simplify:**
$$4 = x^2$$
4. **Solve for $$x$$:** Take the square root of both sides:
$$x = \pm \sqrt{4}$$
5. **Simplify the square root:**
$$x = \pm 2$$
6. **Write the two solutions:**
Smaller value: $$x = -2$$
Larger value: $$x = 2$$