Algebra 2A HW 2.58

Front

What is the definition of a square root?

Back

Front

Back

NO

Front

What is the principle of isolating variables in equations?

Back

Isolating variables involves rearranging an equation to get the variable of interest on one side, making it easier to solve.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that satisfy the equation.

Front

What is the process of squaring both sides of an equation?

Back

Squaring both sides of an equation involves raising both sides to the power of 2 to eliminate square roots or simplify the equation.

Front

What is a radical equation?

Back

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

Front

What is the domain of a square root function?

Back

Front

How do you check if a solution is valid in a radical equation?

Back

To check if a solution is valid, substitute the solution back into the original equation to see if both sides are equal.

Front

What is the importance of extraneous solutions in radical equations?

Back

Extraneous solutions are solutions that emerge from the process of solving an equation but do not satisfy the original equation.

Front

What is the definition of an extraneous solution?

Back

An extraneous solution is a solution that is derived from the solving process but is not a valid solution to the original equation.