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Quadratic Equations — Revision Notes

Maharashtra Board · Class 10 · Mathematics

Quadratic Equations revision notes for Maharashtra Board Class 10 Mathematics: 4 topics in quick points. Includes Quadratic Equation: Basic Idea, Roots.

30 questions25 flashcards14 formulas & key relations5 concepts

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Key Topics to Revise

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1. Quadratic Equation: Basic Idea and Standard Form

  • A quadratic equation is an equation involving one variable with highest power 2.
  • The general form is ax^2 + bx + c = 0.
  • Here, a, b, and c are real numbers and a ≠ 0.
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2. Roots of a Quadratic Equation and Factorisation Method

  • If p(a) = 0 for a polynomial p(x), then (x - a) is a factor of p(x) and a is a root or solution of p(x) = 0.
  • The method of finding linear factors first to solve a quadratic equation is called the factorisation method.
  • If product of two numbers is zero, then at least one of them is zero.
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3. Completing the Square Method

  • This method is useful when factorisation is not easy.
  • Add a suitable term so that the expression becomes a perfect square.
  • For x^2 + 10x + 2 = 0, complete the square by writing x^2 + 10x + 25 - 25 + 2 = 0.
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4. Quadratic Formula and Discriminant

  • The quadratic formula gives roots directly for ax^2 + bx + c = 0.
  • The roots are written as α and β.
  • The formula is X = (-b ± √(b^2 - 4ac)) / 2a.

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Full Notes

Key Concepts

An equation involving one variableA polynomial of degree 2If p(a) = 0 forFirst find linear factors ofRewrite the quadratic expression as

Frequently Asked Questions

What are the important topics in Quadratic Equations for Maharashtra Board Class 10 Mathematics?
Key topics in Quadratic Equations include Quadratic Equation: Basic Idea and Standard Form, Roots of a Quadratic Equation and Factorisation Method, Completing the Square Method, Quadratic Formula and Discriminant. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How should I revise Quadratic Equations for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 30 practice questions on Quadratic Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Quadratic Equations

All Maharashtra Board Class 10 Mathematics Revision Notes

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