J.4 Solve a Quadratic Equations Using Square Roots

Use this method when your polynomial does not have a b term.

1. Isolate the x² term (if not already done)
2. Take the square root of each side to get x by itself.
   1. When you √x² you are left with x.
   2. When you √ the opposite side, you get 2 answers
      1. The answer itself
      2. – answer

Special Notes:

Your Calculator will completely simplify any √  so USE IT.

The reason we must give the + and – of each answer is because (-x)² = x²

Example:

1. Isolate the x² term  – Already done

2. Square root each side.

3. √ x² = x

 

4. √ opposite side IN CALCULATOR!!

5. x = + answer and x = -answer