Asked by sunny
simplify fully!
3x-2/x+4 = 18-4x/x^2-16 - 3x+2/4-x
show all of your steps pleasee !!
3x-2/x+4 = 18-4x/x^2-16 - 3x+2/4-x
show all of your steps pleasee !!
Answers
Answered by
sunny
i need help asap
Answered by
Steve
Do you mean you want to solve the equation?
(3x-2)/(x+4) = (18-4x)/(x^2-16) - (3x+2)/(4-x)
You need a common denominator. Since x^2-16 = (x-2)(x+2), then assuming x ≠ ±4,
(3x-2)(x-4) = (18-4x) + (3x+2)(x+4)
Now you can rearrange terms to get
-6(4x+3) = 0
so, x = -3/4
(3x-2)/(x+4) = (18-4x)/(x^2-16) - (3x+2)/(4-x)
You need a common denominator. Since x^2-16 = (x-2)(x+2), then assuming x ≠ ±4,
(3x-2)(x-4) = (18-4x) + (3x+2)(x+4)
Now you can rearrange terms to get
-6(4x+3) = 0
so, x = -3/4
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