3 Examples of Completing the Square We will

3 Examples of Completing the Square We will keep it simple for these examples. Copy the 3 equations on paper and follow along as we complete the steps.

3 Examples of Completing the Square These are all good candidates for completing the square.

3 Examples of Completing the Square These are all good candidates for completing the square.

3 Examples of Completing the Square These are all good candidates for completing the square.

3 Examples of Completing the Square Space and Landing Pad

3 Examples of Completing the Square

3 Examples of Completing the Square that number and add to both sides.

3 Examples of Completing the Square Add up the right side and bring it down. Now you have something you can solve!

3 Examples of Completing the Square Solve for x. First take the square root of both sides. This just removes the parenthesis and exponent 2 on the left

3 Examples of Completing the Square 2 solutions 1 solution no solution How many solutions will there be? Look at the number in the radical. • If it’s positive like 128, there will be two real solutions. • If it’s 0, there will be one solution. • If it’s negative like -21, there will be no real solutions.

3 Examples of Completing the Square Finish solving for x.

3 Examples of Completing the Square No solution because a negative number has no real square root. Simplify the radical if possible.

3 Examples of Completing the Square If you were told to round to the nearest 100 th place. If a decimal answer is needed, don’t bother simplifying, just use a calculator twice (once for +, once for -).

Why 2, 1, or 0 solutions?

Wasn’t that fun?