Question

Help for a medal???

Answer 1

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

Answer 2

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

Answer 3

But how would I do that?

Answer 4

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

Answer 5

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

Answer 6

It really confuses me when its letters and not numbers

Answer 7

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

Answer 8

\(\large\color{black}{ \displaystyle -nx^2 + tx + c = 0 }\)

would you agree with what I did below?

\(\large\color{black}{ \displaystyle -nx^2 + \frac{-ntx}{-n} + c = 0 }\)

Answer 9

Yup

Answer 10

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

take that -n out from the first term.

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

Do you like my hair ? :)

Answer 15

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

Answer 16

Haha, yeah! Very purple-ish

Answer 17

\[\huge \color\magenta\heartsuit\]

Answer 18

have a nice evening ladies. Adios

Answer 19

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

Answer 20

Thanks, you too!