### Completing the square v003

1. Completing the square Completing the square of a quadratic equation. Let’s study together! example 1. Parrot e d i t i o n. singaporestudent.com 1
2. You were asked to complete the square of this quadratic equation: singaporestudent.com 2
3. So we put the equation into our table. 1 2 3 4 singaporestudent.com 3
4. Highlight the part of the equation that contain x2 and x only. 1 2 Do not highlight the constant! 3 4 singaporestudent.com 4
5. Call this expression : p 1 2 3 4 singaporestudent.com 5
6. Rewrite 6x as (2)(3) x 1 2 3 4 singaporestudent.com 6
7. 1 2 3 4 We need to do this to apply the formula : 2 2 2 a b a singaporestudent.com 2ab b 7
8. Rewrite 6x a=x (2)(3) x. b=3 1 as 2 3 4 We need to do this to apply the formula : a b 2 a 2 2ab b 2 singaporestudent.com 8
9. 1 2 3 Add 32 to p. 4 a b 2 a 2 2ab b 2 singaporestudent.com 9
10. Add 32 to p. 1 2 3 Call this expression : q 4 a b 2 a 2 2ab b 2 a=x b=3 Now we can apply the above formula. singaporestudent.com 10
11. a b 4 2 a2 2ab b 2 a=x b=3 5 6 7 8 singaporestudent.com 11
12. a b 4 2 a2 2ab b 2 a=x b=3 5 There! We applied the formula. 6 7 8 singaporestudent.com 12
13. since 4 then 5 6 7 8 singaporestudent.com 13
14. 4 since 5 then 6 7 8 singaporestudent.com 14
15. 4 -9 + 5 is 4 5 6 Simplify y! 7 8 singaporestudent.com 15
16. Question : Answer : singaporestudent.com 16
17. Whew!! So tiring. Now I can sleep. singaporestudent.com 17