Solving Radical Equations and Inequalities

Graphing polynomial functions

Understanding logarithmic functions

Solving radical equations and inequalities

Solving linear equations

Square root

Cube root

Fourth root

Seventh root

Subtract the radical from both sides

Multiply both sides by the radical

Isolate the radical on one side

Add a constant to both sides

Raise both sides to the power of the radical's index

Take the logarithm of both sides

Add the radical to both sides

Divide both sides by the radical

y = 36

y = 42

y = 38

y = 40

To check if the solution is a fraction

To ensure the solution is a whole number

To verify the solution is not extraneous

To confirm the solution is positive

A solution that is negative

A solution that is a fraction

A solution that does not satisfy the original equation

A solution that satisfies the original equation

x = 16

x = 12

x = 20

x = 24

-5

5

-25

25

y = 13

y = 42

y = -13

y = -42