Finding the minimum value of $a^2+b^2+c^2$
5694
How to prove $a^2 + b^2 + c^2 \ge ab + bc + ca$?
13072
If $x,y,z\gt 0$ and $xyz=1$ Then minimum value of $\frac{x^2}{y+z}+\frac{y^2}{z+x}+\frac{z^2}{x+y}$
82317
Find the minimum value of $A=\frac{2-a^3}{a}+\frac{2-b^3}{b}+\frac{2-c^3}{c}$
63071
the least possible value for :$ \lfloor \frac{a+b}{c}\rfloor +\lfloor \frac{b+c}{a} \rfloor+\lfloor \frac{c+a}{b} \rfloor $
128091
Find the range of possible values of $\sqrt{a^2+a+1}-\sqrt{a^2-a+1}$
23835
Discrete mathematics - Find all integer solutions of the equation $a^2+ b^2 + c^2=a^2 b^2$.
144512
Find the greatest value of $a^2\cdot b^3$ where $a+b=10$
141529
Proving existence of a minimum
60206
Find minimum of $P=\frac{\sqrt{3(2x^2+2x+1)}}{3}+\frac{1}{\sqrt{2x^2+(3-\sqrt{3})x +3}}+\frac{1}{\sqrt{2x^2+(3+\sqrt{3})x +3}}$
31138
How to find a global minimum for $\frac{1}{2}x^tQx-b^tx$
152074
How to find out the global minimum of the following expression
115850
Minimum of $|ax-by+c|$
23638
$a^2b^2+a^2c^2+b^2c^2\leq 3$
36099
Show that $\|f\|^{2}$ attains a minimum value on the interior of $B$
52546
How can I find the possible values that $\gcd(a+b,a^2+b^2)$ can take, if $\gcd(a,b)=1$
86378
Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
115504
Find the value of a+b+c