(1) x2 – 15x + 54 = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 10](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-10.png)
(2) x2 + x – 20 = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 11](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-11.png)
(3) 2y2 + 27y + 13 = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 12](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-12.png)
(4) 5m2 = 22m + 15
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 13](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-13.png)
(5) 2x2 – 2x + ½ = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 14](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-14.png)
(2x – 1) (2x – 1)
2x – 1 = 0
x = ½, ½
Hence x = ½, ½ are the roots of the equation
(6) 6x -2/x = 1
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 15](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-15.png)
(7) √2 x2 + 7 x + 5 √2 = 0 to solve this quadratic equation by factorization, complete the following activity.
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 16](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-16.png)
(8) 3x2 – 2 √6 x + 2 = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 17](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-17.png)
(9) 2m (m-24) = 50
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 18](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-18.png)
(10) 25m2 = 9
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 19](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-19.png)
(11) 7m2 = 21m
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 20](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-20.png)
(12) m2 – 11 = 0
Solution:
![Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter2 Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 21](https://cdn1.byjus.com/wp-content/uploads/2020/04/maharashtra-board-solutions-for-class-10-maths-part-1-chapter-2-image-21.png)