Question

PLEASE HELP ME UNDERSTAND
Solve for x: 3|x − 3| + 2 = 14

No solutions
x = −1, x = 8.3
x = 0, x = 7
x = −1, x = 7

Answer 1

First step is to get everything but the absolutes alone. So get everything but \(\left| x-3 \right|\) to the other side.

Answer 2

so subtract 2?

Answer 3

One more after that, but yes.

Answer 4

then divide by 3

Answer 5

Right! So we'll be left with \[\large \left| x-3 \right| = 4\] Now to get the absolutes, you get the negative and positive. So we can split it to look like \[\large x-3=4~~~and~~~x-3=-4\] Now solve them :)

Answer 6

add 3 in both equations, but one equation has no solution right, since the absolute valuse cant be negative?

Answer 7

No the x will be negative, the absolute will cancel it out though :)

Answer 8

ohk?

Answer 9

so x=1 or x=-1

Answer 10

Well plug those two in and see if they work.

Answer 11

they dont

Answer 12

Both, or just one?

Answer 13

just one

Answer 14

poitive 1 doesnt work??

Answer 15

I'll show you what went wrong. \[\large x-3=4\to \large x=4+3\]

Answer 16

ohk

Answer 17

so x=-1 or x=7

Answer 18

Correct! Good job :)

Answer 19

thanks!
:)

Answer 20

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