query: Elementary Derivation of the Quadratic Formula
positive_passages.docid: 20444
positive_passages.text: Derive quadratic formula
negative_passages.docid: 145690
negative_passages.text: Quadratic algorithm for 4-SUM
negative_passages.docid: 54391
negative_passages.text: Deriving curvature formula
negative_passages.docid: 34861
negative_passages.text: Expressing a symmetric polynomial in terms of elementary symmetric polynomials using computer?
negative_passages.docid: 158063
negative_passages.text: A formula for the roots of a solvable polynomial
negative_passages.docid: 131769
negative_passages.text: How to derive this second derivative using the quotient rule?
negative_passages.docid: 129454
negative_passages.text: Solution to a quadratic form
negative_passages.docid: 137608
negative_passages.text: Proof of Euclid's formula for primitive Pythagorean Triples
negative_passages.docid: 56317
negative_passages.text: Intuitive explanation of binomial coefficient formula
negative_passages.docid: 8784
negative_passages.text: modulo version of the quadratic formula and Euler's criterion
negative_passages.docid: 102279
negative_passages.text: Derivative of Quadratic Form
negative_passages.docid: 11814
negative_passages.text: Describing integral closure of quadratic number fields
negative_passages.docid: 150446
negative_passages.text: Quadratic Modular Arithmetic
negative_passages.docid: 30013
negative_passages.text: Numerically stable algorithm for solving the quadratic equation when $a$ is very small or $0$
negative_passages.docid: 58633
negative_passages.text: Proof of the formula $1+x+x^2+x^3+ \cdots +x^n =\frac{x^{n+1}-1}{x-1}$
negative_passages.docid: 61601
negative_passages.text: How does one derive these solutions to the cubic equation?
negative_passages.docid: 49984
negative_passages.text: Valid justification for algebraic manipulation of $\mathrm{d}y/\mathrm{d}x$?