Exploring Radical Equations

Multiply both sides by the radical

Check the solution

Isolate one radical on one side

Square both sides immediately

The radical doubles in value

The equation becomes unsolvable

The radical and square root cancel each other

The radical becomes a whole number

2

4

8

16

To simplify the equation further

To demonstrate advanced mathematical techniques

To prepare for additional equations

To ensure the solution satisfies the original equation

No solution

y = 2

y = 4

y = 3

Discussing with a peer

Re-solving the equation

Substituting back into the original equation

Graphing the solutions

Ignore the quadratic term

Solve using linear methods

Convert it into a linear equation

Factor the quadratic equation

A.M. method

Completing the square

Graphing

Quadratic formula

Eliminate all radicals immediately

Square both sides simultaneously

Isolate both radicals first

Square one side at a time

No solution

x = -2 only

x = 6 only

x = 6 and x = -2