What are the roots of $ x^{2} = 2^{x} $?
20491
How to solve this equation $x^{2}=2^{x}$?
64448
Find a quadratic equation with root $x_1^2$ and $x_2^2$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
148983
If $a$, $b$, $c$ are the roots of $x^3-6x^2+3x+1=0$, find all possible values of $a^2b+b^2c+c^2a$
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
107089
finding rational roots of polynomials
76046
Finding the roots of the unknown function
85383
No. Of real roots of an equation
106308
how do you solve $x^x=x$
6622
How to find roots of $X^5 - 1$?
3563
Find all roots of $\,x^2\!\equiv x\pmod{\!900}$, i.e all idempotents in $\Bbb Z_{900}$
103165
the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
107765
Prove that there exists two roots in $[-1,1]$
69682
Roots of $y=x^3+x^2-6x-7$
41312
Question on primitive roots of unity
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$