## anonymous one year ago Help for a medal???

1. anonymous

If -nx2 + tx + c = 0, what is x equal to?

2. SolomonZelman

you have to complete the square for the left side. (or I can refer to that "find the vertex form of the left side" )

3. anonymous

But how would I do that?

4. SolomonZelman

Ok, at first you need to factor the first two terms out of -n

5. anonymous

But you see. The thing is, I don't know how to factor when its mostly letters

6. anonymous

It really confuses me when its letters and not numbers

7. SolomonZelman

if you know how to factor when you have numbers, it is a good place to start at then

8. SolomonZelman

$$\large\color{black}{ \displaystyle -nx^2 + tx + c = 0 }$$ would you agree with what I did below? $$\large\color{black}{ \displaystyle -nx^2 + \frac{-ntx}{-n} + c = 0 }$$

9. anonymous

Yup

10. SolomonZelman

ok, now, each term has -n in it (each of the first 2). take that -n out from the first term.

11. misty1212

i have an idea use $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ only where you see an $$a$$ put$$-n$$ , where you see a $$b$$ put a $$t$$ and leave $$c$$ as it is

12. SolomonZelman

lol. I always there with completing the square. Quad form is definitely better. Nice approach!

13. anonymous

Alright, thanks you two! By the way misty, LOVE THE HAIR!

14. SolomonZelman

Do you like my hair ? :)

15. SolomonZelman

OH, don't tell me I am bold, you will offend me.

16. anonymous

Haha, yeah! Very purple-ish

17. misty1212

$\huge \color\magenta\heartsuit$

18. SolomonZelman

19. anonymous

If I knew how to make that heart I would type it right now. <3 That should be good enough though

20. anonymous

Thanks, you too!