Maharashtra Board Class 10 Math Part 1 Chapter 2 Practice Set 2.2 Quadratic Equations Solution

Maharashtra Board Class 10 Math Part 1 Solution Chapter 2 Practice Set 2.2 – Quadratic Equations

                                 

Balbharati Maharashtra Board Class 10 Math Part 1 Solution Chapter 2: Quadratic Equations. Marathi or English Medium Students of Class 10 get here Quadratic Equations full Practice set Solution.

Std	Maharashtra Class 10
Subject	Math Part 1 Solution
Chapter   Practice set	Quadratic Equations     2.2

 

Practice set 2.2

 

(1) Solve the following quadratic equations by factorization.

(1) x² – 15x + 54 = 0

Or, x² – 6x – 9x + 54 = 0

Or, x (x – 6) – 9 (x – 6) = 0

Or, (x – 6) (x – 9) = 0

∴ Either, x – 6 = 0

Or, x = 6

Or, x – 9 = 0

Or, x = 9

Are the roots of the equation.

 

(2) x² + x – 20 = 0

Or, x² + 5x – 4x – 20 = 0

Or, x (x + 5) – 4 (x + 5) = 0

Or, (x + 5) (x – 4) = 0

Either, x + 5 = 0

or,  x = -5

Or, x – 4 = 0

or, x = 4

One the 0 root of the equation

 

(3) 2y² + 27y + 13 = 0

Or, 2y² + y + 26y + 13 = 0

Or, y (2y + 1) + 13 (2y + 1) = 0

Or, (2y + 1) (y + 13) = 0

Either, 2y + 1 = 0

Or, y = -1/2

Or, y + 13 = 0

Or, y = -13

one the roots of the equation.

 

(4) 5m² = 22m + 15

Or, 5m² – 22m – 15 = 0

Or, 5m² – 25m + 3m – 15 = 0

Or, 5m (m – 5) + 3 (m – 5) = 0

Or, (m – 5) (5m + 3) = 0

Either m – 5 = 0

Or, m = 5

Or, 5m + 3 = 0

Or, m = 3/5

Are the roots of the equation

 

(5) 2x² – 2x + ½ = 0

Or, 2x² – x – x + ½ = 0

Or, 2x ( – ½) – 1 (x – ½) = 0

Or, (x – ½) (2x – 1) = 0

Either, x – 1/2 = 0

Or, x = 1/2 

Or, 2x – 1 = 0

Or, x = 1/2 

Are the roots of the equation

 

(6) 6x – 2/x = 1

Or, 6x – 2/x – 1 = 0

Multiplying x —- both sides we get,

6x² – 2/x × x – 1 × x = 0

Or, 6x² – x – 2 = 0

Or, 6x² + 3x – 4x – 2 = 0

Or, 3x (2x + 1) – 2 (2x + 1) = 0

Or, (2x + 1 (3x – 2) = 0

Either, 2x + 1 = 0

Or, x = -1/2

Or, 3x – 2 = 0

Or, x = 2/3

Are the roots of the equation

 

(7) √2 x² + 7x + 5√2 = 0 to solving this equation by factorisation, complete the following activity.

Solution:

√2 x²+ 7x + 5√2 = 0

Or, √2 x² + 5 2x + 5x + 5√2 = 0

Or, √2 x (x + √2) + 5 (x + √2) = 0

Or, (x + √2) (√2 x + 5) = 0

Either, x + √2 = 0

Or, x = -√2

Or, √2 x + 5 = 0

Or, x = -5/√2

Are the roots of the equation.

 

(8) 3x² – 2√6 x + 2 = 0

Or, 3x² – √6x – √6x + 2 = 0

Or, √3x (√3x – √2) – √2 (√3x – √2) = 0

Or, (√3x – √2) (√3x – √2) = 0

∴ √3x – √2 = 0

Or, x = √2/√3, √2/3 Are the roots of equation

 

(9) 2m (m – 24) = 50

Or, 2m² – 48m – 50 = 0

Or, 2m² – 50m + 2m – 50 = 0

Or, 2m (m – 25) + 2 (m – 25) = 0

Or, (m – 25) (2m + 2) = 0

Either,

m – 25 = 0

Or, m = 25

Or, 2m + 2 = 0

Or, m = 1

Are the roots of the equation.

 

(10) 25m² = 9

Or, 25m² – 9 = 0

Or, (5m)² – (3)² = 0

Or, (5m + 3) (5m – 3) = 0 [∵ a³ – b² = (a + b) (a – b)]

Either, 5m + 3 = 0

Or, m = -3/5

Or, 5m – 3 = 0

Or, m = 3/5

Are the roots of equation

 

(11) 7m² = 21m

Or 7m² – 21m = 0

Or, 7m (m – 3) = 0

Either, 7m = 0

Or, m = 0

Or, m – 3 = 0

Or, m = 3

Are the roots of the equation

 

(12) m² – 11 = 0

Or, m² – (√11)² = 0

Or, (m + √1) (m – √11) = 0  [∵ a² – b² = (a + b) (a – b)]

Either, m + √11 = 0

Or, m = – √11

Or, m – √11 = 0

Or, m = √11

Are the roots of equation

 

 

Here is your solution of Maharashtra Board Class 10 Math Part 1 Solution Chapter 2 Practice Set 2.2 – Quadratic Equations

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