Question

help please

Answer 1

What are the solutions of 3x^2-4x+8=0 ?

Answer 2

\(\large\color{black}{ (-4)^2-4(3)(8)<0 }\)

Answer 3

lol hi again

Answer 4

hello:)
have you learned about imaginary number \(\large\color{black}{ i }\) ?

Answer 5

yeah

Answer 6

so, I guess, we should then proceed.
\(\large\color{black}{ (-4)^2-4(3)(8) ~~~\Rightarrow ~~~16-96~~~\Rightarrow-80 }\)

Answer 7

I tested the discriminant, \(\large\color{black}{ -80 }\) is not an "imaginary perfect square"
(excuse me for this term)

Answer 8

So, use the quadratic formula.

Answer 9

\(\normalsize\color{ slate }{\Huge{\bbox[5pt, lightcyan ,border:2px solid black ]{ \LARGE{x=~} \huge{ \frac{-\color{magenta}{b} \pm\sqrt{ \color{magenta}{b} ^2-4 \color{blue}{a} \color{red}{c}}}{2 \color{blue}{a}} }~ }}}\)

when the equation is \(\LARGE\color{black}{ \color{blue}{a} x^2+ \color{magenta}{b}x+ \color{red}{c}=0 }\).

Answer 10

and i got \[4+-\sqrt{-80}/6 \]

Answer 11

yes, it is \(\large\color{black}{ \frac{\LARGE 4\pm\sqrt{80} }{\LARGE 6} }\)

Answer 12

I mean \(\large\color{black}{ \frac{\LARGE 4\pm\sqrt{-80} }{\LARGE 6} }\)

Answer 13

yeah that's what i got too

Answer 14

this is not it though

Answer 15

yeah i get that

Answer 16

Okay, \(\large\color{black}{ \sqrt{-80}=\sqrt{-1}\times \sqrt{16} \times \sqrt{5} }\)

Answer 17

So, \(\large\color{black}{ \sqrt{-80} }\) can be re-written as?

Answer 18

as radical 16 and radical 5 no?

Answer 19

my connection sucks

Answer 20

~ \(\large\color{black}{ \sqrt{-1}=i }\) (definition of the imaginary number \(\large\color{black}{i }\) )
~ \(\large\color{black}{ \sqrt{16}=4 }\)
~ \(\large\color{black}{ \sqrt{5}=\sqrt{5} }\) (can't be reduced)

Answer 21

you know these 3 things, don't you?

Answer 22

oh okay so then would it be \[2+-4i \sqrt{5}\div3 \]

Answer 23

excuse the way i did it lol

Answer 24

you got this correctly, that: \(\large\color{black}{ \sqrt{-80}=\pm4i \sqrt{5} }\)

Answer 25

\(\large\color{black}{ \frac{\LARGE 4 ~\pm~4i\sqrt{5} }{\LARGE 6} }\)

Answer 26

then reduce this fraction.

Answer 27

yeah i got 2/3 for the fraction

Answer 28

\(\large\color{black}{ \frac{\LARGE 4 ~\pm~4i\sqrt{5} }{\LARGE 6} }\)

\(\large\color{black}{ \frac{\LARGE 2 ~\pm~2i\sqrt{5} }{\LARGE 3} }\)

Answer 29

the only option closest to that, that i have is in -2 tho

Answer 30

are you sure you didn't have any typos in the question?

Answer 31

nope its right

Answer 32

well, if the equation is: \(\large\color{black}{ 3x^2-4x+8=0}\)
then, above are the solutions for it.

Answer 33

oh ok then, it was probably a mistake from my teacher. thank you anyway tho!

Answer 34

yw