Solve. Click Here for Help Video.

Question

x2=400x^2={400}x
2
=400

Answer 1

To solve the equation \( x^2 = 400 \):

1. Start with the equation: \[ x^2 = 400 \]

2. To solve for \( x \), take the square root of both sides: \[ x = \pm \sqrt{400} \]

3. Calculate the square root of 400: \[ \sqrt{400} = 20 \]

4. So, the solutions are: \[ x = 20 \quad \text{and} \quad x = -20 \]

Thus, the complete solution is: \[ x = 20 \quad \text{or} \quad x = -20 \]