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The chapter delves into quadratic equations, exploring their forms, roots, and various methods of solving them. It illustrates real-life applications of quadratic equations, enriches the understanding of their properties, and highlights the significance of the discriminant in determining the nature of roots. A series of exercises and activities help in consolidating the concepts explained.
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NCERT Study MaterialClass Notes
Memorization
What we have learnt
- A quadratic equation is an ...
- The solutions of quadratic ...
- The discriminant of a quadr...
Final Test
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What we have learnt
- A quadratic equation is an equation of the form ax² + bx + c = 0 where a, b, and c are real numbers and a ≠ 0.
- The solutions of quadratic equations can be found using factorization, completing the square, or the quadratic formula.
- The discriminant of a quadratic equation determines the nature of its roots: two distinct real roots, one repeated real root, or no real roots.
Key Concepts
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Term: Quadratic Equation
Definition: An equation of the form ax² + bx + c = 0 where a, b, and c are constants, and a ≠ 0.
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Term: Discriminant
Definition: The expression b² - 4ac that indicates the nature of the roots of a quadratic equation.
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Term: Roots of a Quadratic Equation
Definition: The values of x that satisfy the equation ax² + bx + c = 0, which can be real or complex numbers.