Question

I am completely lost trying to solve this problem. I could really use some help and explanation.

x/x+1 + 5/x = 1/x^2+x


also how do you write

(x-5)(x-5) would it be x^2-5

Answer 1

You need parenthesis.
I'll assume your problem is,
x/(x+1) + 5/x = 1/(x^2 + x)
x/(x+1) + 5/x = 1/(x(x + 1))
Multiply both sides by x(x + 1)
x^2 + 5(x + 1) = 1
x^2 + 5x + 5 = 1
x^2 + 5x + 4 = 0
(x + 1)(x + 4) = 0

x = -1 or x = -4

Make sure you check both answers in the original equation. I have NOT checked.

Answer 2

I have been trying to figure this problem out and I am completely lost.
Could someone help guide me through it?

(3x^4-0x^3-8x^2 -3x-3) / (x^2-3)