Solving Equations Using the Square Root Method: (x1)^2 = 4
The square root method is a useful technique for solving quadratic equations that are in a specific form. This method relies on the concept of inverse operations to isolate the variable.
Here's how to solve the equation (x1)^2 = 4 using the square root method:
Steps:

Isolate the squared term: The equation is already in the desired form.

Take the square root of both sides: This eliminates the square on the left side. Remember to consider both the positive and negative square roots:
√[(x1)^2] = ±√4

Simplify:
x  1 = ±2

Solve for x:
 For the positive root:
x  1 = 2 x = 2 + 1 x = 3
 For the negative root:
x  1 = 2 x = 2 + 1 x = 1
 For the positive root:
Solution:
Therefore, the solutions to the equation (x1)^2 = 4 are x = 3 and x = 1.
Important Notes:
 Always remember to consider both the positive and negative square roots.
 The square root method is most effective when the quadratic equation is in the form (ax + b)^2 = c.
By following these steps, you can easily solve quadratic equations using the square root method.