How many solutions does the equation −2|x − 3| + 3 = 4 have? I think it is one because,

I got, x = 2.5 and x = 3.5
−2|x − 3| + 3 = 4 I plugged them in and only the 2.5 equals 4.

Question

How many solutions does the equation −2|x − 3| + 3 = 4 have? I think it is one because,

I got, x = 2.5 and x = 3.5
−2|x − 3| + 3 = 4 I plugged them in and only the 2.5 equals 4.

jim_thompson5910 · Answer

−2|x − 3| + 3 = 4

−2|x − 3|  = 4-3

−2|x − 3|  = 1

|x − 3|  = 1/(-2)

|x − 3|  = -1/2


Can you see any issues here?

anonymous · Answer

you need the first part of the equation to equal 1 for it to work, but it's a negative number multiplied by a positive one, which will always yield a negative number, therefore, there are no solutions to this equation