## kiamonstaa 3 years ago Part 1: Solve each of the quadratic equations below. Show your work. x2 – 36 = 0 and x2 = 8x – 12 Part 2: Describe what the solution(s) represent to the graph of each. Part 3: How are the graphs alike? How are they different?

1. Loujoelou

K for part 1, all you have to know for the first problem is what factors when multiplied eqaul -36, do you know that? :)

2. kiamonstaa

ummm i want to say... 16 x 2

3. kiamonstaa

-16

4. Loujoelou

That doesn't equal -36 when multiplied, but -6*6 does :)

5. kiamonstaa

xd brain fart. i was thinking of some thing else.

6. kiamonstaa

so how would it be solved?

7. Loujoelou

Now all you would do is (x-6)(x+6) to factor the quadratic equation. Wait is that what you needed?

8. kiamonstaa

oh and how would you do the 2nd one?

9. Loujoelou

K so we have x^2= 8x-12. We can make this x^2-8x+12=0

10. Loujoelou

Now you need to find out what factors when multiplied to 12, add up to -8. Can you think of anY? :)

11. kiamonstaa

ohhh!! 4 -4?

12. kiamonstaa

sooo....(x+4) (x-4)

13. Loujoelou

Not necessarily. 4*-4=-16. We need two numbers like -6*-2 that equal 12 and add up to -8 :) Since those two numbers are it we can factor our quadratic equation as (x-6)(x-2)

14. kiamonstaa

oh....jumped the gun there. lol but thanks!!

15. Loujoelou

No problem :)