query: solve $(x+iy)^2= a+ ib$
positive_passages.docid: 17355
positive_passages.text: How do I get the square root of a complex number?
negative_passages.docid: 67666
negative_passages.text: show that $a^2+b^2+c^2+2abc+3\ge (1+a)(1+b)(1+c)$
negative_passages.docid: 68164
negative_passages.text: $(2x^2+3y^2-7)xdx-(3x^2+2y^2-8)ydy=0$
negative_passages.docid: 146753
negative_passages.text: Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
negative_passages.docid: 13120
negative_passages.text: Find all integer solutions to $x^2+y^2+z^2=2xyz$
negative_passages.docid: 88760
negative_passages.text: Find the integral solutions to $ x^2+y^2+z^2=x^2y^2$
negative_passages.docid: 135074
negative_passages.text: How do you solve this equation?
negative_passages.docid: 74532
negative_passages.text: Solve for $ A $ from $ A {A}^{T} $
negative_passages.docid: 49794
negative_passages.text: Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$
negative_passages.docid: 46244
negative_passages.text: solve the integral equation 2
negative_passages.docid: 23112
negative_passages.text: Solving an equation with rational expressions (step by step)
negative_passages.docid: 19402
negative_passages.text: Find integral solution of $a^{b} - b^{a} = 3$
negative_passages.docid: 76716
negative_passages.text: Solve an equation in $\mathbb{R}^+$
negative_passages.docid: 106609
negative_passages.text: Show that $e^{iy} = 1 + iy + \frac{\mu_1 y^2}{2}$ for all $y \in \mathbb{R}$ with $|\mu_1| \leq 1$
negative_passages.docid: 82083
negative_passages.text: Solving $(z+1)^5 = z^5$
negative_passages.docid: 101908
negative_passages.text: Solving summations of form $\sum_{i=0}^{\infty} i^kx^i$ without Differentiation and Integration
negative_passages.docid: 123724
negative_passages.text: Solve $(y')^2 - xy' + y = 0$