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Addition of Algebraic Expressions

If y= x+1/x ,...

Question

If y= x+1/x , then x^4+x^3-4x^2+x+1 = 0 becomes

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y = x + \frac{1}{x}

x^{4} + x^{3} - 4 x^{2} + x + 1 = 0

x^{3} - x - 4

x^{4} - x^{3} - x^{2} + x + 3

x^{4} + x^{2} - 1

?
If true then enter

1

and if false then enter

0

x

x + \frac{1}{x} \neq 0

x^{3} + \frac{1}{x^{3}} = 0

, then the value of

{(x + \frac{1}{x})}^{4}

State true or false:

x \neq 0

x + \frac{1}{x} = 2

x^{2} + \frac{1}{x^{2}} = x^{3} + \frac{1}{x^{3}} = x^{4} + \frac{1}{x^{4}}

Q. The number of positive integral roots of

x^{4} + x^{3} - 4 x^{2} + x + 1 = 0

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