Math Tutorial for Solving Radical Equations

The video tutorial explains how to solve quadratic equations by first eliminating square roots and then factoring the resulting quadratic expression. The instructor demonstrates the process of listing factors to find the correct pair that sums to the middle term. The zero-product property is applied to find potential solutions, which are then checked for validity to ensure they are not extraneous. The tutorial emphasizes the importance of verifying solutions to confirm their correctness.

What is the result of squaring the expression (√x + 2)?

• x^2 + 2

• x + 2

• x^2 + 4

• x + 4

Which of the following is a factor of 322?

• 3

• 7

• 5

• 9

What is the correct factorization of the quadratic equation x^2 - 36x + 322?

• (x + 16)(x + 20)

• (x - 16)(x - 20)

• (x + 14)(x + 23)

• (x - 14)(x - 23)

What is the solution to the equation x - 14 = 0?

• x = -23

• x = 14

• x = 23

• x = -14

Which value is extraneous when checking the solutions?

• 18

• 16

• 14

• 23