Question

What are the solutions to Ix-10I -4=2x?

Answer 1

@Vocaloid

Answer 2

x=6

Answer 3

alright, this one is a bit trickier

first, let's add 4 to each side to get the absolute value by itself

|x-10| = 2x + 4

now we write two equations:

x - 10 = 2x + 4
x - 10 = -(2x+4)

solve both for x. you will get 2 different values

Answer 4

x=2 and x=-14?

Answer 5

good, now plug both back into the original equation. only one ends up working in the end

Answer 6

wait absolute value means that the - is actually positive unless written like this -|10|

Answer 7

x=2?

Answer 8

good, x = 2 is our answer. x = -14 is an extraneous solution

Answer 9

wouldn't it be 3 ?????????????????????????

Answer 10

http://www.wolframalpha.com/input/?i=%7Cx-10%7C+%3D+2x+%2B+4

Answer 11

everything that is enclosed in an absolute bars | | equals to zero
an unknown number with variable x may either be positive or negative |-x| = x and |x| = x
this is why we have two sets of answers for the most part

Answer 12

or, to do it algebraically:

x - 10 = -(2x+4)

x - 10 = -2x - 4
3x = 6
x = 2

Answer 13

in this case wouldnt it be x+10 and |x+(-10)| be the same or no and why?

Answer 14

x = 3 doesn't work, try plugging it back into the original equation

Answer 15

no, x+10 and |x+(-10)| are not the same

Answer 16

o yh your right I plugged 2 in sorry

Answer 17

I got it ;)

Answer 18

AND X Does Not Equal 6 -_-