Finding the range of $ab+bc+ca$
5729
If $a^2+b^2+c^2=1$ then prove the following.
23315
Solve $\frac{b}{a}=a.b$ in decimal
54294
Can the product $AB$ be computed using only $+, -,$ and reciprocal operators?
82365
what should be the range of $u$ satisfying following equation.
63958
how to prove this inequality $(ab+bc+ac)^2 ≥ 3abc(a+b+c)$
23638
$a^2b^2+a^2c^2+b^2c^2\leq 3$
9966
Range of a Rational Function
153422
How to find the corrsponding expression after working with natural units $\hbar=c=1$?
128006
How to get ratio of a,b,c from 2 equations in a,b,c
12954
Prove if $ac>bc$ and $c>0$, then $a>b$
81868
How to prove $\operatorname{Tr}(AB) = \operatorname{Tr}(BA)$?
153053
Find numbers $a, b, c$ given that $a+b+c=12$, $a^2+b^2+c^2=50$, and $a^3+b^3+c^3=168$
145882
How prove this $\frac{a}{(bc-a^2)^2}+\frac{b}{(ca-b^2)^2}+\frac{c}{(ab-c^2)^2}=0$
16382
Find $a$ such that $(x+a)(x+1991)+1=(x+b)(x+c)$ with $a,b,c\in\Bbb Z$
55680
The relationship of ${\frak m+m=m}$ to AC
31856
Find $a^{2013} + b^{2013} + c^{2013}$
88432
A problem on range of a trigonometric function: what is the range of $\frac{\sqrt{3}\sin x}{2+\cos x}$?