The rational expression 3x / x^2 - 4 is....?

Question

What? How do you do it?

Answer 1

set the expression equal to zero, making it an equation. then solve the equation (by doing order of operations backwards)

i could be a little more explanative, but you didn't clarify the expression enough, is -4 with the x^2?

Answer 2

The rational expression 3x / x^2 - 4 is....?
I do not understand , what is required. If it is to simplify it then:
(3x / x^2) - 4 =(3/x) - 4.

Answer 3

Have you refered to the example(s) in your book and/or notes? Please use parenthesis and be specific as to what needs to be done. Do you mean: (3x)/(x^2 - 4) Or, (3x/x^2) - 4)? I'll solve both.

1. (3x)/(x^2 - 4)
First: factor the denominator...

(3x)/(x+2)(x-2)

Sec: the answer is simplified into lowest terms - you can't cancel "like" terms.

2. (3x/x^2) - 4)

First: simplify the fraction into lowest terms > when your dividinga fraction that has the same base ("x"), subtract the exponents...

(3x^1-2) - 4

(3x^-2) - 4

Sec: when you have a variable with a negative exponent, place the entire term over 1...

[(3x^-1)/1] - 4

Third: make the exponent positive > place x^-1 below 3, as the denominator...

(3/x^1) - 4

(3/x) - 4

Answer 4

3x/x^2=4
3/x=4
x=3/4