« Solving Quadratic Equation 

A "radical" equation is an equation in which there is a variable inside the radical sign
Step 1: Isolate the radicals to left side of the equal sign.
Step 2: Square each side of the equation
Step 3: Solve the resulting equation
Step 4: Check all solutions
Example 1: Solve
Solution
Step 1: Isolate the radicals to left side of the equal sign.
Step 2: Square each side of the equation
Step 3: Solve the resulting equation
Step 4: Check all solutions
Let's check to see if x_{1} = 3 is solution:
Let's check to see if x_{2} = 1 is solution:
So, the original equation had a single solution x = 3 .
Level 1
Level 2
Example 2: Solve
Solution
Let's check it to see if x = 1 is a solution to the original equation.
So, the original equation had no solutions.
Level 1
Level 2
Example 3: Solve
Solution
First thing to do is get one of the square roots by itself.
We have managed to eliminate one of square roots!! We will continue to work this problem as we did in the previous examples.
Let's check both possible solutions. We will start with x = 0.
Now let's check x = 4.
Level 1
Level 2