square root method

Front

What is the square root method in solving equations?

Back

The square root method involves isolating the squared term in an equation and then taking the square root of both sides to solve for the variable.

Front

How do you isolate a squared term in an equation?

Back

Front

What is the first step in using the square root method?

Back

The first step is to rearrange the equation so that the squared term is by itself on one side of the equation.

Front

Back

x = -8, x = 12

Front

What do you do after isolating the squared term?

Back

After isolating the squared term, take the square root of both sides of the equation, remembering to consider both the positive and negative roots.

Front

Back

x = 3, x = 5

Front

What is the importance of considering both positive and negative roots?

Back

When taking the square root of a number, both the positive and negative values are valid solutions, which is crucial for finding all possible solutions to the equation.

Front

Back

x = -2, x = 3

Front

What is a common mistake when using the square root method?

Back

A common mistake is forgetting to consider the negative root when taking the square root of both sides.

Front

How can you check your solutions after using the square root method?

Back

You can check your solutions by substituting them back into the original equation to see if they satisfy it.