To solve the equation \(1 \cdot x^2 = 49\), we can follow these steps:

### Step 1: Simplify the Equation
The equation is already simplified as \(x^2 = 49\).

### Step 2: Take the Square Root of Both Sides
To solve for \(x\), take the square root of both sides of the equation:
\[
x = \pm \sqrt{49}
\]

### Step 3: Calculate the Square Root
\[
x = \pm 7
\]

### Final Answer
The solutions to the equation are \(x = 7\) and \(x = -7\).

Would you like more details or have any questions?

Here are some related questions:
1. What happens if the equation was \(x^2 = -49\)?
2. How do you solve a quadratic equation like \(x^2 - 5x + 6 = 0\)?
3. What are the general properties of quadratic equations?
4. How can you solve a quadratic equation using the quadratic formula?
5. What is the significance of the discriminant in a quadratic equation?

**Tip:** When solving equations involving square roots, always remember to consider both the positive and negative roots.

Learn how to solve the equation 1.x²=49 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving equations and taking square roots. Suitable for students in Grades 7-9.

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