Question

what is the x intercept of y=1+(1/x)+(1/x^2)

Answer 1

Is the x intercept when y = 0?

Answer 2

Yess!

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

multiply each term by x^2

Answer 7

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

Answer 8

yup

Answer 9

alright thanks.

Answer 10

the roots are non-real (complex) numbers

Answer 11

yw