Math Problem Statement

If α and β are roots of the equation ax^2 + bx + c = 0, find the value of the expression involving the roots α and β.

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Symmetric Relations

Formulas

Quadratic equation ax^2 + bx + c = 0
Relations between roots and coefficients: α + β = -b/a, αβ = c/a

Theorems

Vieta's Formulas

Suitable Grade Level

Grades 10-12

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