Question

|8x-5|=|5x+4|

Answer 1

x=3

Answer 2

hw do you work that out

Answer 3

|8x-5|=|5x+4|
there are four possible values

Answer 4

1/13, 3

Answer 5

|8x-5|=|5x+4|
case 1:
(8x-5)=(5x+4)
3x=9
x=3
case 2:
-(8x-5)=(5x+4)
-8x+5=5x+4
13x=1
x=1/13
case 3:
(8x-5)=-(5x+4)
8x-5=-5x-4
13x=1
x=1/13 [NOTE: same as case 2]
case 4:
-(8x-5)=-(5x+4)
(8x-5)=(5x+4)
3x=9
x=3 [NOTE: same as case 1]

remember you ought to consider these 4 cases always

Answer 6

but the rule states that "absolute value" always contain positive sign.. why did you assume negative sign??

Answer 7

you are correct but
the value of the function inside the modulus function can either be +ve or -ve
but the answer will always be positive
so to find out the value of x you have to consider both ways since both gives out the same answer out

Answer 8

yeah. . .thanks