query: Step-by-Step Solution for $x^{1/x}=2^{1/2}$
positive_passages.docid: 20491
positive_passages.text: How to solve this equation $x^{2}=2^{x}$?
negative_passages.docid: 112390
negative_passages.text: Solutions of $x^2 \equiv 1 \pmod N$
negative_passages.docid: 63194
negative_passages.text: Find all integer solutions to $x^2-2y^2=1$
negative_passages.docid: 12041
negative_passages.text: Solving an equation in $x$, in which $x$ occurs as exponent four times
negative_passages.docid: 67608
negative_passages.text: Integration of $1/(x^2+x\sqrt{x})$
negative_passages.docid: 72360
negative_passages.text: Find the value of $a^{2m}+a^m+{1\over a^m}+{1\over a^{2m}}$
negative_passages.docid: 72620
negative_passages.text: Finding the value of $1.1^{82}$ using $(1+x)^{82}$ to a certain accuracy
negative_passages.docid: 119410
negative_passages.text: Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
negative_passages.docid: 125267
negative_passages.text: Prove that $2^{1/2}$ is irrational
negative_passages.docid: 62688
negative_passages.text: Find all real solutions to the equation$4^x+6^{x^2}=5^x+5^{x^2}$
negative_passages.docid: 155012
negative_passages.text: Solving quadratic equations in modular arithmetic
negative_passages.docid: 105793
negative_passages.text: Solution of equation $\frac{x\cdot 2014^{\frac{1}{x}}+\frac{1}{x}\cdot 2014^x}{2} = 2014$
negative_passages.docid: 144515
negative_passages.text: Equation with high exponents
negative_passages.docid: 124073
negative_passages.text: solving for one solution to a system of polynomials
negative_passages.docid: 75092
negative_passages.text: Initial value problem $x'=x^{2/3}$
negative_passages.docid: 38849
negative_passages.text: Solve $x^y \, = \, y^x$
negative_passages.docid: 106308
negative_passages.text: how do you solve $x^x=x$