Solving Equations with Square Roots

The video tutorial guides viewers through solving an equation involving a square root. It begins by adding under the square root and then squaring both sides to simplify. The equation is set to zero by subtracting terms, and factoring is used to find solutions. The process results in three solutions, including zero and plus or minus values.

What is the first step in solving the given equation?

• Dividing both sides

• Subtracting from both sides

• Adding under the square root

• Multiplying both sides

After squaring both sides, what is the next step in simplifying the equation?

• Add 2x^2 to both sides

• Multiply by x

• Set the left side equal to zero

• Divide by x

What does factoring out x^2 from the equation result in?

• x^2 * (x - 2) = 0

• x^2 * (x + 2) = 0

• x^2 * (x^2 - 2) = 0

• x^2 * (x^2 + 2) = 0

What are the possible solutions for x when solving x^2 = 0?

• x = -2

• x = 2

• x = 0

• x = 1

When solving the equation X2 - 2 = 0, what should be considered?

• Both positive and negative solutions

• Only positive solutions

• No solutions

• Only negative solutions