Class 10 Maths — Chapter 4: QUADRATIC EQUATIONS

What you'll learn

• ▸Definition and Standard Form of Quadratic Equations
• ▸Representing Word Problems as Quadratic Equations
• ▸Identifying Quadratic Equations
• ▸Concept of Roots and Solutions
• ▸Solving Quadratic Equations by Factorisation
• ▸Solving Equations with Repeated Roots

Chapter Summary

--- PAGE 1 --- 1062CH04 QUADRATIC EQUATIONS 4 4.1 Introduction In Chapter 2, you have studied different types of polynomials. One type was the quadratic polynomial of the form ax² + bx + c, a ≠ 0. When we equate this polynomial to zero, we get a quadratic equation. Quadratic equations come up when we deal with many real-life situations. For instance, suppose a charity trust decides to build a prayer hall having a carpet area of 300 square metres with its length one metre more than twice its breadth. What should be the length and breadth of the hall? Suppose the breadth of the hall is x metres. Then, its length should be (2x + 1) metres. We can depict this information pictorially as shown in Fig. 4.1. Now, area of the hall = (2x + 1). x m² = (2x² + x) m² So, 2x² + x = 300 (Given) Therefore, 2x² + x – 300 = 0 So, the breadth of the hall should satisfy the equation 2x² + x – 300 = 0 which is a quadratic eq…

Practice Questions from this Chapter

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1. Explain quadratic formula simply. Get Solution →
2. Find more real-world quadratic examples. Get Solution →
3. Trace the history of algebra. Get Solution →
4. What is the standard form of a quadratic equation? Get Solution →
5. For the equation ax² + bx + c = 0 to be a quadratic equation, which condition must be met? Get Solution →
6. What is a real number α called if it satisfies the equation ax² + bx + c = 0? Get Solution →
7. What is the maximum number of roots a quadratic equation can have? Get Solution →
8. What is the name of the expression b² – 4ac? Get Solution →

Did you know?

• 💡 The equals sign was first used in 1557 by Welsh mathematician Robert Recorde.
• 💡 Ancient Babylonians solved quadratic equations over 4,000 years ago.
• 💡 The path of a thrown ball follows a parabolic curve, described by a quadratic equation.
• 💡 The concept of zero as a number originated in India around the 5th century AD.
• 💡 Our modern number system, with place value, was developed in ancient India.

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