Understanding and Solving the Equation

The video tutorial guides viewers through solving an equation by first identifying that x cannot be zero and that x equals one is a solution. It then explores further solutions by rewriting the square root of x as x to the power of one-half and equating exponents. The tutorial proceeds by squaring both sides of the equation, simplifying, and solving by factoring, while noting that x equals zero is an extraneous solution. The final solutions are x equals one and x equals four.

Why can't x be zero in the given equation?

• Because 0 to the power of 0 is undefined

• Because 0 is not a real number

• Because 0 is an imaginary number

• Because 0 is a negative number

What is the value of x that satisfies the equation initially?

• x = 2

• x = 3

• x = 1

• x = 0

How is the square root of x expressed in terms of exponents?

• x to the power of 1/2

• x to the power of 0

• x to the power of 1

• x to the power of 2

What operation is performed on both sides of the equation to simplify it?

• Multiplication

• Subtraction

• Addition

• Squaring

Which of the following is an extraneous solution?

• x = 0

• x = 1

• x = 2

• x = 4