solve 1/n^2+1/n=1/2n^2
please help me get through this and show work so i can get a good understanding

Question

solve 1/n^2+1/n=1/2n^2
please help me get through this and show work so i can get a good understanding

turingtest · Answer

$$\frac1{n^2}+\frac1n=\frac1{2n^2}$$did I type it right?

turingtest · Answer

@sassyjazz could you please tell my if I have typed the problem correctly?
it's hard to help you if you don't stick around

anonymous · Answer

Multiply through to eliminate denominator. Since they are all powers/factors of n, find the largest value and multiply across (2n^2). Move all terms to one side. Solve the quadratic equation for n.

anonymous · Answer

YES UU DID

anonymous · Answer

SORRY COMPUTER WAS MESSING UP

anonymous · Answer

$$1/n ^{2}+1/n=1/(2*n ^{2})$$
multiply by n^2
1+n=0.5
n=-0.5

anonymous · Answer

bingo

turingtest · Answer

@sassyjazz you still there?
do you understand any better now?

anonymous · Answer

KINDA

turingtest · Answer

the idea is to find the GCF of all the denominators
once we find that, if we multiply both sides by the GCF all the fractions will disappear

turingtest · Answer

so what are the denominators?$$n^2,~n,~\text{ and } 2n^2$$do you know how to find the greatest common factor of those numbers?

anonymous · Answer

WOULD IT B           ^2