Math Problem Statement
If a,b,c>1 and they are real number then prove atleast one of these is always wrong (10a^2-5a+1)/(c^2-5c+10)>abc (10c^2-5c+1)/(b^2-5b+10)>abc (10b^2-5b+1)/(a^2-5a+10>abc
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Quadratic Equations
Multiplication of Inequalities
Formulas
Quadratic expressions: ax^2 + bx + c
Multiplication of inequalities
Properties of real numbers
Theorems
Properties of inequalities
AM-GM Inequality (indirectly through the behavior of products)
Suitable Grade Level
Grades 11-12 or early college