Question

How many solutions does the following equation have?
|3x + 12| = 18

Answer 1

I think you should actually try to find the solution or solutions before trying to answer this question.

You could simplify the problem considerably by dividing every term by 3.

Answer 2

so x+4=6?

Answer 3

this is an absolute value problem, so it needs to be treated a bit differently.

You now have |x+4|=6.

How many solutions does that have? What does the presence of the absolute value operator, | | , tell you to do?

Answer 4

\[\left| x+a \right|=b,x+a=\pm b\]

Answer 5

make it positive?

Answer 6

@mathmale you there?

Answer 7

\[3x+12=\pm 18,x=?,?\]

Answer 8

4,6 @surjithayer

Answer 9

this is an absolute value problem, so it needs to be treated a bit differently.

You now have |x+4|=6.

How many solutions does that have? What does the presence of the absolute value operator, | | , tell you to do?


Given |x+4|=6, obtain two separate equations as follows:
+(x+4)=6

-(x+4)=6

Solve these separately.

check each result in the original equation.

Answer 10

You could also try checking your supposed results (4 and 6) in the original equation.

Answer 11

ok I am confused here @surjithayer can you finish your explantion

Answer 12

3x+12=18,find x
3x+12=-18,find x

Answer 13

Again, an absolute value problem such as yours can and should be broken up into two parts. surjithayer's approach and mine differ only in that I 've suggested dividing the entire equation through by 3 to simplify it, and I put my + and - signs on the left, whereas he put them on the right. the solutions are identical. Unfortunately, the solutions are not {4, 6}.

If this is still not clear to you, then explain what you need to know.

Answer 14

x+4=6
x+4=-6
?? @surjithayer

Answer 15

correct

Answer 16

find x for both equations.

Answer 17

x=2
x=-2
@surjithayer

Answer 18

no,x=-4-6=

Answer 19

Please show your work. One of those is correct; the other is not.

Answer 20

If you show your work, you'll get the best quality feedback.

Answer 21

so x=-10 @surjithayer

Answer 22

correct x=2,-10

Answer 23

here is the choices
A.No solution
B.One solution
C.Two solutions
D.Infinitely many solutions
SO THE ANSWER IS B TWO SOLUTIONS?

Answer 24

@surjithayer

Answer 25

how many values of x you got?

Answer 26

it is c ,two solutions.

Answer 27

OK THANKS!