If coefficients of the Quadratic Equation are in AP find $\alpha+\beta +\alpha\beta$.
26689
A.P. terms in a Quadratic equation.
25910
Product of Quadratic Residues
74222
If $a+b=1$ then $a^{4b^2}+b^{4a^2}\leq1$
126445
Proving the second root of a quadratic equation
23638
$a^2b^2+a^2c^2+b^2c^2\leq 3$
100278
Find $\alpha^{2016} + \beta^{2016} + \alpha^{2014} + \beta^{2014} \over \alpha^{2015} + \beta^{2015}$ for zeroes of the polynomial $x^2+3x +1$
123133
If, in a triangle, $\cos(A) + \cos(B) + 2\cos(C) = 2$ prove that the sides of the triangle are in AP
32122
Find the coefficient of the term $x^2$ in $\left(x+\frac 2x\right)^{4}$
147442
Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$
53725
Factor $(x+y)^4+x^4+y^4$
128496
Find the coefficient of $x^9$ in the expansion of $(1+x)(1+x^2)(1+x^3)...(1+x^{100})$
19019
Find all functions $f:\Bbb{Q}\rightarrow \Bbb{Q}$ such that $f(x)+f(t)=f(y)+f(z)$ for all rational numbers $x<y<z<t$ that form an AP
97454
Find the value of $\alpha-\beta$ if $g(x,y)=\alpha x+\beta y$ is a Hahn-Banach extension of $f$
3206
Given $ax^2+by^2+cxy > 0$, what can I deduce about $a$, $b$, and $c$?
110408
Solving for $A$ in $Ax = b$
27278
Let $\alpha \in \overline{\Bbb Q}$ a root of $X^3+X+1\in\Bbb Q[X]$. Calculate the minimum polynomial of $\alpha^{-1}$ en $\alpha -1$.
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.