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Practice Set 2.2 Quadratic Equations Class 10th Mathematics Part 1 MHB Solution

Practice Set 2.2
  1. x^2 - 15x + 54 = 0 Solve the following quadratic equation by factorization.…
  2. x^2 + x - 20 = 0 Solve the following quadratic equation by factorization.…
  3. Solve the following quadratic equation by factorization. 2y^2 + 27y + 13 = 0…
  4. 5m^2 = 22m + 15 Solve the following quadratic equation by factorization.…
  5. 2x^2 - 2x + 1/2 = 0 Solve the following quadratic equation by factorization.…
  6. 6x - 2/x = 1 Solve the following quadratic equation by factorization.…
  7. root 2x^2 + 7x+5 root 2 = 0 to solve this quadratic equation by factorization,…
  8. 3x^2 - 2 root 6x+2 = 0 Solve the following quadratic equation by factorization.…
  9. 2m (m-24) = 50 Solve the following quadratic equation by factorization.…
  10. 25m^2 = 9 Solve the following quadratic equation by factorization.…
  11. 7m^2 = 21m Solve the following quadratic equation by factorization.…
  12. m^2 - 11 = 0 Solve the following quadratic equation by factorization.…
Practice Set 2.2
Question 1.

Solve the following quadratic equation by factorization.

x2 – 15x + 54 = 0


Answer:


⇒ 


⇒ 


⇒ 




Hence, are roots of the equation.



Question 2.

Solve the following quadratic equation by factorization.

x2 + x – 20 = 0


Answer:


⇒ 


⇒ 


⇒ 




Hence, are roots of the equation.



Question 3.

Solve the following quadratic equation by factorization.
2y2 + 27y + 13 = 0


Answer:


⇒  = 0


⇒ 


⇒ (2y + 1) (y + 13) = 0



13


Hence, are roots of the equation.



Question 4.

Solve the following quadratic equation by factorization.

5m2 = 22m + 15


Answer:


⇒ 


⇒ 


⇒ 



⇒ 


∴ Hence, are roots of the equation.



Question 5.

Solve the following quadratic equation by factorization.



Answer:

⇒ 


⇒ 






Question 6.

Solve the following quadratic equation by factorization.



Answer:


⇒ 



⇒ 





Hence, are roots of the equation.



Question 7.

Solve the following quadratic equation by factorization.

 to solve this quadratic equation by factorization, complete the following activity.


Answer:







∴ 



Question 8.

Solve the following quadratic equation by factorization.



Answer:

⇒ 


⇒ 


⇒ 


⇒ 




Question 9.

Solve the following quadratic equation by factorization.

2m (m-24) = 50


Answer:



⇒ 


⇒ 


⇒ 


⇒ 


⇒ 


Hence, are roots of the equation.



Question 10.

Solve the following quadratic equation by factorization.

25m2 = 9


Answer:


⇒ 


⇒ 


⇒ 


Hence,  are roots of the equation.



Question 11.

Solve the following quadratic equation by factorization.

7m2 = 21m


Answer:


⇒ 


⇒ 


⇒ 


Hence,  are roots of the equation.



Question 12.

Solve the following quadratic equation by factorization.

m2 - 11 = 0


Answer:


⇒ 


⇒ 


⇒ 


Hence , m = ±11 are roots of the equation.