Question

solve for x
1/x ^2 + 1/x = 6

Answer 1

x=1/2 or -1/3

get a common denominator, and you eventually get to 0=6x^2-x-1
that factors to 0=(3x+1)(2x-1)

Answer 2

ok let me try brb g\cause I got a couple diff answers

Answer 3

is the common denominator not x ^2 so I have 1/x^2 + x/x^2 =6x?

Answer 4

you don't multiply the 6 by x

Answer 5

it's just 1/x^2 + x/x^2 =6

Answer 6

ooo right so then 1/x^2 + x/x^2 =6x^2

Answer 7

x^2 multiplied on everything

Answer 8

so then I get x+1/x^2 = 6x^2 and I feel like I need to multiply x^2 on both sides and then bring everything on one side but it starts to look ugly am I headed in the wrong direction?

Answer 9

you don't need to multiply EVERYTHING by x^2, just 1/x. 1/x = x/x^2, just a different way of writing it. the equation still stays balanced.

Answer 10

I thought when u have this its just like addition with fractions and u need to find a common denominator. So what should my equation look like