Solving Radical Equations

line

For each of the following questions, assume all variables are nonnegative real numbers.

1. Solve sqrt(3x+1) = 4


 x = 5

 x = -5

 x = 1


2. Solve sqrt(2x+1) + 5 = 4.

  x = 1/2

  x = 0

  No solution


3. Solve fourth root of (5x+1) = 3.

  x = 16

  x = -16

  No solution


4. Solve sqrt(a + 2) = a + 3.

 a = {2, 3}

 a = {-2, -3}

 No solution



5. Solve cuberoot(4x+7) = cuberoot(x+1).

 x = 2

 x = -2

 No solution


6. Solve  sqrt(x-3) = sqrt(x) - 1.


 x = 4

  x = {-4, 4}

  No solution

 

line

Copyright © 2001 Donna Tupper.