Lesson 4

Self-Check 2

1. What restrictions are there on the values of the variables in  if the equation involves real numbers? Answer
   
   
2. Solve
   
   
   1. by isolating  Answer
      
      
   2. by isolating  Answer
      
      
   3. Check each for extraneous roots. Answer
      
      
3. In question 2, which method was easier when solving for d? Explain. Answer
   
   
4. Solve  and check for extraneous roots Answer

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Skip forward to Connect if you feel you have a solid understanding of how to

• determine any restrictions on values for the variable in a radical equation
  
  
• determine the roots of a radical equation algebraically, and explain the process used to solve the equation
  
  
• verify by substitution that the values determined in solving a radical equation algebraically are roots of the equation
  
  
• explain why some roots determined in solving a radical equation algebraically are extraneous
  

If you need a bit more practice, complete Self-Check 3.

 

Self-Check 3