1 if a b and c are three positive real numbers, show that a/(c+b) + b/(a+c) + c/(a+b) >= 3/2

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\frac{a}{b + c} + \frac{b}{a + c} + \frac{c}{a + b} \geq \frac{3}{2}

(a + b + c + d) (\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{d}) \geq 16

a + c \neq 0

\frac{1}{a} + \frac{1}{a - b} + \frac{1}{c} + \frac{1}{c - b} = 0

a, b, c

H . P

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a (b - c) x^{2} + b (c - a) x y + c (a - b) y^{2}

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a b c = 4

b

If three positive real numbers a, b, c are in A.P. such that abc $= 4$ , then the minimum value of b is

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