Question

A mega-super-really-quick question?

In Algebra, when I solve, I always get something that = x.

Ex: 2x=0

x=-2

BUT, now in a specific problem, I don't have an x, and I'm still expected to solve.

Ex:

0=6

In this scenario, what do I do?

Answer 1

first of all ,

2x=0 is not x=-2

second of all, there is no way that 0=6. There is nothing you can say in this case

Answer 2

I'm talking about when graphing rational functions.

One of my problems:

2/x^2-4

My teachers says set it = to zero and cancel out the bottom.

Sorry about the example up top. I was trying to think of a fast one. :/

Answer 3

I'm trying to find the x-intercept etc.

Answer 4

2/x^2=4
x^2=1/2
x=sqrt (1/2)

Answer 5

Factor the denominator and set it to 0. You will find that x = 2 or -2. Those numbers cause the denominator to be 0 so x cannot be those numbers. These are vertical asymptotes: x=2 and x = -2

Answer 6

There are no x intercepts because the numerator can never be 0 so the fraction can never be 0. If the fraction cannot be 0, y cannot be 0 and if y is not 0 there is no x intercept.

Answer 7

Okay, thanks. I was trying to cancel out the denominator instead.