## anonymous 3 years ago what is the x intercept of y=1+(1/x)+(1/x^2)

1. anonymous

Is the x intercept when y = 0?

2. anonymous

Yess!

3. anonymous

Then shouldn't you just try to solve $0=1 + \frac{1}{x}+\frac{1}{x^2}$?

4. anonymous

I did & i dont think theres a defined answer so i was just checking if i did something wrong

5. anonymous

Ah, did you check the discriminant to see if it was positive/zero/negative?

6. cwrw238

multiply each term by x^2

7. cwrw238

giving x^2 + x + 1 = 0 and check discriminant as freewill said

8. cwrw238

yup

9. anonymous

alright thanks.

10. cwrw238

the roots are non-real (complex) numbers

11. cwrw238

yw