We know that a and B are positive real numbers, and prove that: (a + b) × (1 / A + 1 / b) ≥ 4

We know that a and B are positive real numbers, and prove that: (a + b) × (1 / A + 1 / b) ≥ 4

Certificate:
(a+b)(1/a+1/b)
=1+a/b+b/a+1
=2+a/b+b/a
a>0,b>0
From the inequality of mean value, it is obtained that a / B + B / a ≥ 2 (when a / b = B / A, that is, when a = B, take the equal sign)
2+a/b+b/a≥2+2=4
(a+b)(1/a+1/b)≥4

Elden Ring Premiere

RELATED INFORMATIONS