Understanding Square Root Equations

The video tutorial addresses a common error in solving square root equations, where a negative value on the right side might lead to the incorrect assumption of no solution. It explains the importance of isolating the square root by multiplying both sides by negative one, leading to a solvable equation. The tutorial then demonstrates solving the equation by squaring both sides and simplifying to find the solution. Finally, it verifies the solution by substituting it back into the original equation.

What is a common mistake when initially looking at square root equations with a negative on the right side?

• Assuming there is no solution

• Multiplying both sides by zero

• Adding a constant to both sides

• Dividing both sides by two

What is the first step to isolate the square root in the equation?

• Subtract a constant from both sides

• Add a constant to both sides

• Multiply both sides by negative one

• Divide both sides by the square root

After isolating the square root, what operation is used to eliminate it?

• Taking the cube root

• Squaring both sides

• Dividing by the square root

• Multiplying by the square root

What is the solution to the equation after simplifying both sides?

• x = 5

• x = 7

• x = 9

• x = 3

How do you verify the solution to a square root equation?

• By solving a new equation with the solution

• By graphing the solution

• By checking if the solution satisfies a different equation

• By substituting the solution back into the original equation