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



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freewilly922
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Is the x intercept when y = 0?

semaameya
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Yess!

freewilly922
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Then shouldn't you just try to solve
\[0=1 + \frac{1}{x}+\frac{1}{x^2}\]?

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

freewilly922
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Ah, did you check the discriminant to see if it was positive/zero/negative?

cwrw238
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multiply each term by x^2

cwrw238
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giving x^2 + x + 1 = 0 and check discriminant as freewill said

cwrw238
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yup

semaameya
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alright thanks.

cwrw238
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the roots are nonreal (complex) numbers

cwrw238
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yw