Math Problem Statement
Cho a,b là 2 số dương thoả mãn a^2+b^2=2 tìm minP= a^2/b+1 + b^2/a+1
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Optimization
Formulas
a^2 + b^2 = 2
P = a^2 / (b + 1) + b^2 / (a + 1)
AM-GM Inequality: a^2 + b^2 ≥ 2 * sqrt(a^2 * b^2)
Theorems
AM-GM Inequality
Suitable Grade Level
Grades 10-12
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