Quadratic Equations | Practice Set 2.2 | Mahesh Prajapati

Here you will learn Practice set 2.2 of 10th Maths 1 Quadratic Equations by using Factorization method by Mahesh Prajapati.

Last year you have studied the methods to find the factors of quadratic polynomials like x² – 4x – 5,

2m² – 5m, a² – 25. Try the following activity and revise the same.

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Solutions of a quadratic equation by factorisation

By substituting arbitrary values for the variable and deciding the roots of quadratic equation is a time consuming process. Let us learn to use factorisation method to find the roots of the given quadratic equation.

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Practice Set 2.2

1. Solve the following quadratic equations by factorisation.
   (1) x² – 15 x + 54 = 0 (2) x² + x – 20 = 0 (3) 2y² + 27 y + 13 = 0
   (4) 5m² = 22 m + 15 (5) 2x² – 2 x +1/2 = 0 (6) 6x -2/x = 1

(8) 3x² – 2 6 x + 2 = 0 (9) 2m (m – 24) = 50
(10) 25m² = 9 (11) 7m² = 21m (12) m² – 11 = 0

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