# Theory of Equations

Subject: Mathematics Exam: MUOET Engineering

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## Important Concepts in Theory of Equations

Find notes, videos, important points and questions to practice on each of these concepts.

- Introduction
- Quadratic equations
- Roots of an equation
- Coefficients and Roots of an Equation
- Nature of Roots
- Symmetric Functions
- Solution of equations
- Maximum and Minimum Value
- Factor Theorem
- Lagrange's Identity
- Inequalities

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## Important Points

If a, b, c are real numbers and a is not 0 then the roots are real and distinct if and only if D > 0. Roots are real and equal if D = 0 and the roots are complex with non-zero imaginary parts if D < 0.