How to Solve an Equation with a Radical Expression on Both Sides

The video tutorial explains how to solve equations for x using inverse operations. It covers handling square roots by squaring both sides of the equation to maintain equivalence, transforming the equation into a linear form, and solving it. The importance of checking for extraneous solutions is emphasized, as correct calculations can still yield non-valid solutions. The tutorial includes a step-by-step example to illustrate these concepts.

What is the first step suggested to solve for x when it involves a square root?

• Multiply both sides by a constant

• Divide both sides by x

• Add numbers to both sides

• Square both sides

After squaring both sides of the equation, what type of equation do we obtain?

• Exponential equation

• Logarithmic equation

• Linear equation

• Quadratic equation

How can you isolate the variable x on one side of the equation?

• Divide both sides by a constant

• Multiply both sides by x

• Subtract like terms from both sides

• Add the same number to both sides

Why is it important to check for extraneous solutions?

• To ensure the solution is the only possible answer

• To verify the solution satisfies the original equation

• To simplify the equation further

• To find additional solutions

What should you do after finding a solution to ensure it is not extraneous?

• Divide the solution by the coefficient of x

• Add the solution to both sides of the equation

• Substitute the solution back into the original equation

• Multiply the solution by a constant