Lesson Vocabulary

• radical equation
• extraneous solution

Problem 1 Solving by Isolating the Radical

What is the solution of x + 7 = 16 ? square root of x plus 7 equals 16 question mark

x + 7 = 16   x = 9 Get the radical by itself on one side of the equation . ( x ) 2 = 9 2 Square each side . x = 81 Simplify . table with 4 rows and 3 columns , row1 column 1 , square root of x plus 7 , column 2 equals 16 , column 3 , row2 column 1 , square root of x , column 2 equals 9 , column 3 cap gettheradicalbyitselfononesideoftheequation . . , row3 column 1 , open square root of x close squared , column 2 equals , 9 squared , column 3 cap squareeachside . . , row4 column 1 , x , column 2 equals 81 , column 3 cap simplify , . , end table

Check x + 7 = 16   81 + 7 = ? 16 Substitute  81  for  x . 9 + 7 = 16 ✔   table with 3 rows and 3 columns , row1 column 1 , cap check , square root of x plus 7 , column 2 equals 16 , column 3 , row2 column 1 , square root of 81 plus 7 , column 2 modified equals with question mark above , 16 , column 3 cap substitute . 81 , for , x . , row3 column 1 , 9 plus 7 , column 2 equals 16 u 2 , column 3 , end table

✓ Got It?

1. What is the solution of x − 5 = − 2 ? square root of x minus 5 equals negative 2 question mark