Question

d

Answer 1

@chris00

Answer 2

9(9-8k)=2x+3?
9(-9+8k)=2x+3?

Answer 3

why

Answer 4

@KlOwNlOvE

Answer 5

| | are just like parenthesis only you have to find the reciprocal to find 2 solutions so you get a + absolute value then - absolute value

Answer 6

So its now just 9 -9 (-) 8x = 2x +3

Answer 7

That is not the exact meaning.

It goes like this:

| x | helps us calculate the absolute value of any number.
Because, if x is negative [-1,-2,-3...] then to make it positive. !x| = -x [because -(-1), -(-2), -(-3)... = 1,2,3....]
Now if x is positive, then |x| = x

So there are two solutions to |x| = +x [when x is positive], -x {when x is negative]

So two solve your question, we take two equations, where we change the sign on
|9-8x| because when 9-8x is negative, |9-8x| = -(9-8x)
when 9-8x is positive |9-8x| = (9-8x) and then we incorporate both possibilities in our equation to find the values of x for the conditions.

Getting this? :)

Answer 8

1 second

Answer 9

no im sorry I dont understand.
im super tired its 2AM here.

Answer 10

square both sides, the absolute bars go away

Answer 11

Can you show me what that looks like after squareD?

Answer 12

9|9 - 8x| =2x +3

(9(9-8x))^2 = (2x+3)^2

simplify

Answer 13

If we do that, we'll get more solutions. Extraneous!

Answer 14

yes we want extraneous solutions to check right

Answer 15

if we approach it directly, we won't get any extraneous solutions and the question would be pointless :P

Answer 16

do you multiply those two nines ?

Answer 17

you may :


9|9 - 8x| =2x +3

(9(9-8x))^2 = (2x+3)^2

(81-72x)^2 = (2x+3)^2

Answer 18

can you expand it further using (a+b)^2 formula ?
you will get a quadratic which you can factor/solve

Answer 19

what is "^"

Answer 20

squared? so 9 squared?

Answer 21

that means exponent

Answer 22

Ganeshie I dont know if you got my message, but yeh, I do.

Answer 23

Okay, it seems the squaring method is getting tedious, lets leave it here.

Answer 24

work it using @KlOwNlOvE first method, it looks good

Answer 25

my brain is everywhere. I just want to give up but I cant. I just dont understand. The most frusturating part is that I was doing these yesterday fine but I cant think straight. for some reason I want to add the 8x to get it with the 2x, but i know tahts not right

Answer 26

9|9 - 8x| =2x +3

```
9(9-8x) = 2x+3 or 9(9-8x) = -(2x+3)
81-72x = 2x + 3 81-72x = -2x - 3
78 = 74x 84 = 70x
39/37 = x 6/5 = x
```
So your two solutions are : x = 39/37 and x = 6/5

Answer 27

plug them in the original absolute value equation and see if they satisfy

Answer 28

where did you get 39/37 tho

Answer 29

`78/74` simplifies to `39/37` after cancelling `2` in numerator and denominator

Answer 30

oh, thank you alot. you were great help.

Answer 31

\[\large \dfrac{78}{74} = \dfrac{2*39}{2*37} = \dfrac{39}{37}\]

Answer 32

that makes alot of sense now.

Answer 33

good, you need to plugin the solutions in original equations and make sure they satisfy

Answer 34

9|9 - 8x| =2x +3


plugin x = 39/37 and simplify both sides,
you should get same number on both sides

Answer 35

okay

Answer 36

they both work

Answer 37

Here, more steps :

9|9 - 8x| =2x +3
```
9(9-8x) = 2x+3 or 9(9-8x) = -(2x+3)
81-72x = 2x + 3 81-72x = -2x - 3
78 = 74x 84 = 70x
78/74 = x 84/70 = x
39/37 = x 6/5 = x
```
So your two solutions are : x = 39/37 and x = 6/5

Answer 38

yes they both work ! so they're not extraneous

Answer 39

they are good working solutions,
NOT extranoise solutions :)

Answer 40

thank you. alot. must. sleep.

Answer 41

good night! have horrible math dreams :P