The roots of $x^2-2x+3=0$ are $\alpha$ and $\beta$. Find the equation whose roots are: $\alpha+2$, $\beta+2$. Not sure of answer in book.
38662
If $a,b$ are the roots of the equation $2 x^2 -3 x +1 = 0$, find an equation whose roots are $a/(2b +3)$, $b/(2a +3)$
105226
How to solve this equation manually: $(x^2+100)^2=(x^3-100)^3$?
133164
Rational solutions for $x^2+y^2=3$
6622
How to find roots of $X^5 - 1$?
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
110297
Problem related to quadratic equations
46394
If $\frac{\cos \alpha}{\cos \beta}+\frac{\sin \alpha}{\sin \beta}=-1$, find $\frac{\cos^3\beta}{\cos \alpha}+\frac{\sin^3\beta}{\sin \alpha}$.
94700
Integer solutions for $x^3+2=y^2$?
72410
If $\alpha_1,\alpha_2,\ldots,\alpha_n$ be the roots of the equation $x^n+1$
69682
Roots of $y=x^3+x^2-6x-7$
129855
How to find root of derivative of any polynomial/equation?
40426
Polynomial degree 3 Equation
146294
Find all positive integers $a,b$ such that each of the equations $x^2-ax+b=0$ and $x^2-bx+a=0$ has distinct positive integral roots.
109304
The roots of the equation $z^n=(1+z)^n$...
55197
Roots of $ x^3-3x+1$
20305
Complex roots of $z^3 + \bar{z} = 0$
47949
If $a$ and $b$ are two roots of $x^4 + x^3 - 1 = 0$ prove that $ab$ is a root of $x^6 + x^4 + x^3 - x^2 - 1$.