query: Why does a root only have a positive output?
positive_passages.docid: 44799
positive_passages.text: Why is the even root of a number always positive?
negative_passages.docid: 100731
negative_passages.text: Positive operator has a positive spectrum?
negative_passages.docid: 106011
negative_passages.text: Proving it has all real roots
negative_passages.docid: 8061
negative_passages.text: Why must the base of a logarithm be a positive real number not equal to 1?
negative_passages.docid: 119429
negative_passages.text: Why do $x^{x^{x^{\dots}}}=2$ and $x^{x^{x^{\dots}}}=4$ have the same positive root $\sqrt 2$?
negative_passages.docid: 92701
negative_passages.text: let $a,b,c \in\mathbb{R} ,a<3$ and all roots $p(x)=x^3+ax^2+bx+c=0$ be negative . then prove that $b+c\neq 4$
negative_passages.docid: 120676
negative_passages.text: A certain element which makes functionals positive
negative_passages.docid: 51947
negative_passages.text: Is the Riemann integral of a strictly positive function positive?
negative_passages.docid: 2408
negative_passages.text: Show that a polynomial has at least one positive solution/root.
negative_passages.docid: 116616
negative_passages.text: Could $X^3 + X + 1$ have a root in $E?$
negative_passages.docid: 63409
negative_passages.text: If $x^2+ax+b=0$ has a rational root, show that it is in fact an integer
negative_passages.docid: 81381
negative_passages.text: Why does the domain and range of $\sqrt x$ contain only positive real numbers?
negative_passages.docid: 77820
negative_passages.text: Roots in a polynomial ring
negative_passages.docid: 35478
negative_passages.text: Polynomial $p(a) = 1$, why does it have at most 2 integer roots?
negative_passages.docid: 16660
negative_passages.text: Prove that any positive number has an $n$th root
negative_passages.docid: 157417
negative_passages.text: Understanding the definition of a multiple (double) root
negative_passages.docid: 144769
negative_passages.text: Distinct roots of $ax^2-bx+c=0$ in $(0,1)$, where $a,b,c\in \mathbb{Z}^+$