# NCERT Class 10 Mathematics Chapter 4 Quadratic Equations Solutions: In-Text and Exercise Questions Explained | SwaVid

This chapter, 'Quadratic Equations', from the NCERT Class 10 Mathematics textbook, introduces students to quadratic equations and various methods to sol...

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# Quadratic Equations

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 4 · Class 10 Mathematics

This chapter, 'Quadratic Equations', from the NCERT Class 10 Mathematics textbook, introduces students to quadratic equations and various methods to solve them. It covers topics such as identifying quadratic equations, representing real-life situations in quadratic form, finding roots by factorization, completing the square, using the quadratic formula, and understanding the nature of roots. The exercises and examples aim to build a strong foundation in solving quadratic equations and applying them to practical problems.

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Examples

Answer: The quadratic equation representing the situation is x^2 - 45x + 324 = 0.

Exercise 4.1

Exercise 4.2

Exercise 4.3

Exercise 4.4

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Source

- Let the number of marbles John had be x.
- Then, the number of marbles Jivanti had = 45 - x.
- After losing 5 marbles each:
- Number of marbles John had = x - 5.
- Number of marbles Jivanti had = (45 - x) - 5 = 40 - x.
- According to the problem, the product of the marbles they now have is 124.
- (x - 5)(40 - x) = 124
- 40x - x^2 - 200 + 5x = 124
- -x^2 + 45x - 200 = 124
- -x^2 + 45x - 200 - 124 = 0
- -x^2 + 45x - 324 = 0
- Multiply by -1 to make the leading coefficient positive:
- x^2 - 45x + 324 = 0
- NCERT Class 10 Mathematics textbook: Mathematics : Chapter 4: Quadratic Equations

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