Solving Radical Equations Quiz

This video tutorial explains how to solve radical equations by eliminating the square root through squaring both sides of the equation. It covers rearranging terms to simplify the equation, factoring the resulting trinomial using the area model method, and finding solutions by setting each factor to zero. The tutorial provides a step-by-step approach to solving the equation x = √(x - 10), resulting in solutions x = 2 and x = 5.

What is the first step in solving a radical equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Square both sides of the equation

• Divide both sides by a variable

Why do we square both sides of the equation in this example?

• To eliminate the square root

• To add a constant

• To simplify the equation

• To eliminate the variable

What is the purpose of rearranging the equation to equal zero?

• To add a constant

• To eliminate the variable

• To prepare for factoring

• To simplify the equation

Which method is used to factor the trinomial in this example?

• Quadratic formula

• Completing the square

• Synthetic division

• Area model method

What are the factors of the trinomial x^2 - 7x + 10?

• (x - 2)(x - 5)

• (x + 3)(x - 3)

• (x - 1)(x - 10)

• (x + 2)(x + 5)

What is the GCF of the first row in the area model?

• x

• 2

• 5

• 10

What is the purpose of finding the GCF in the area model?

• To eliminate the variable

• To determine the factors

• To find the roots

• To simplify the equation

What are the two numbers that multiply to 10 and add to -7?

• 3 and 4

• -5 and -2

• 5 and 2

• -3 and -4

What is the solution for x when solving x - 2 = 0?

• x = 5

• x = -2

• x = 2

• x = 0

What is the solution for x when solving x - 5 = 0?

• x = 5

• x = 2

• x = 0

• x = -5