Question 1

Which of the following is the correct solution to the equation $$\sqrt{2x - x^2$} = 1$$?

Accepted Answer

$$x = 1$$

Question 2

Given the equation $$\sqrt{2x - 3} = x - 3$$, which of the following is a valid solution after checking for extraneous solutions?

Accepted Answer

$$x = 5$$

Question 3

Solve for $$x in $$the equation $$4 + \sqrt{2x - 8} = x. $$Which of the following is a solution?

Accepted Answer

$$x = 4$$

Question 4

What is the solution to $$\sqrt{4x} = 2x - 1$$?

Accepted Answer

Question 5

If $$\sqrt{5b} = \sqrt{3b + 2}$$, what is the value of $$b$$?

Accepted Answer

Question 6

Which of the following is the correct solution to $$\sqrt{2x - 3} = x - 3$$ after checking for extraneous solutions?

Accepted Answer

$$x = 5$$

Question 7

Solve $$\sqrt{2x - x^2$} = 1$$ for $$x. $$Which of the following is correct?

Accepted Answer

$$x = 1$$

Question 8

What is the solution to $$4 + \sqrt{2x - 8} = x$$?

Accepted Answer

$$x = 6$$

Question 9

If $$\sqrt{5b} = \sqrt{3b + 2}$$, what is the value of $$b$$?

Accepted Answer

Question 10

Solve for $$x in$$ $$\sqrt{2x - x^2$} = 1.$$

Accepted Answer

$$x = 1$$

Solving Radical Equations and Checking for Extraneous Solutions

Study Guide - Practice Questions