The least value of for which for all is

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

The least value of

\alpha\in\mathbb R

for which

4\alpha x^2+\frac{1}{x}\ge1

for all

x>0

is (1)

\frac{1}{64}

(2)

\frac{1}{32}

(3)

\frac{1}{27}

(4)

\frac{1}{25}