10.5 Day 1 Completing the Square - mrsesposito€¦ · 10.5 Day 1 Completing the Square Warm-Up!...
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10.5 Day 1 Completing the Square Warm-Up! Square the binomial. 1. 2 3 x 2. 2 4 x 3. 2 7 x Let’s look at a pattern here: 1. 2. 3. Complete the Square. How can we reverse the procedure? Find the number that “completes the square”: 1. 2 2 4 ___ ( __ ) x x x 2. 2 2 16 ___ ( ___ ) x x x 3. 2 2 12 ___ ( __ ) x x x 4. 2 2 22 ___ ( ___ ) x x x Let’s Practice! Find the value of c such that each expression is a perfect-square trinomial. Then write the expression as the square of a binomial. 5. 2 18 x x c 6. 2 4 q q c 7. 2 30 p p c Completing the Square You can change the expression 2 x bx into a perfect-square trinomial by adding 2 2 b to 2 x bx . BUT! You must keep the expression balanced. #TBW (Throwback Wednesday).
Transcript of 10.5 Day 1 Completing the Square - mrsesposito€¦ · 10.5 Day 1 Completing the Square Warm-Up!...
10.5 Day 1 Completing the Square
Warm-Up! Square the binomial.
1. 2
3x 2. 2
4x 3. 2
7x
Let’s look at a pattern here: 1. 2. 3. Complete the Square. How can we reverse the procedure? Find the number that “completes the square”:
1. 2 24 ___ ( __ )x x x 2.
2 216 ___ ( ___ )x x x
3. 2 212 ___ ( __ ) x x x 4.
2 222 ___ ( ___ ) x x x
Let’s Practice! Find the value of c such that each expression is a perfect-square trinomial. Then write the expression as the square of a binomial.
5. 2 18x x c 6. 2 4q q c 7. 2 30p p c
Completing the Square
You can change the expression 2x bx into a perfect-square trinomial by adding
2
2
b
to 2x bx . BUT!
You must keep the expression balanced.
#TBW (Throwback Wednesday).
Solve the equation without factoring.
8. 22 200x 9. 24 4 68k 10. 2 1 0x d Solve by Completing the Square. If necessary, round to the nearest hundredth (using your calculator).
11. 2 16 15 0x x 12. 2 6 1 0x x
13. 2 2 7 0x x 14. 2 10 9 0x x
