1. The Square Root Property and Completing the Square
Chapter 8 Section 1
The Square Root Property and Completing the Square

2. Question
If x2 = 25, what is the x value?
How many solutions?

3. Solve the equation

4. Solve
(x – 1)2 = 5
Note: If one can get the term squared, then taking the square root of both sides will . . .

5. Completing the Square
Completing the square will allow one to write a binomial squared, then the solution will come. To complete the square, observe x2 + 6x + 9 (x)2 (3)2 2(x)(3)

6. Observe
Complete the square: half 10 and square x2 – 10x Half 10 is 5 and square is 25 Thus, x2 – 10x + 25 Factor: (x – 5)2

7. Determine the constant that should be added so that the binomial becomes a perfect square trinomial
4) 5) 6)

8. Next Once one complete the square, one can now solve the equation:
x2 – 10x = 0
x2 – 10x + 25 = 25
(x – 5)2 = 25
x - 5 =
x =10 or 0

9. Solve the equation

10. Summary Use square root property to solve equations
Complete the square
Complete the square to solve equations.