Math Problem Statement
Solution
The problem you've uploaded contains several mathematical tasks related to square roots. Here's a breakdown of the questions:
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Task 1: Calculate the value of the expression when .
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Task 2: Prove that holds.
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Task 3: Consider the expression . Find all the values of for which .
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Math Problem Analysis
Mathematical Concepts
Square Roots
Algebraic Expressions
Equations
Formulas
A = √(x) / (x-2)
B = √(x) / (x-3)
P = A·B
P = (4x+3) / √(x-2)
Theorems
Simplification of algebraic expressions
Substitution method
Equality of expressions
Suitable Grade Level
Grades 9-11
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