NCERT SOLUTION FOR CLASS 10 MATHS CHAPTER 4 EXERCISE 4.2 , Q.1 ALL SOLUTION
प्रश्न -(1) गुणनखंड विधि से निम्न द्विघात समीकरणों के मूल ज्ञात कीजिये ?
हल : X^2 -3X -10 = 0
=> X^2 -5X +2X -10 =0
=> X (X - 5 ) +2 (X - 5 ) =0
=> (X -5 ) (X + 2 ) = 0
=> x -5 = 0 या X + 2 = 0
=> X = 5 या X = -2 उत्तर
(II)
x + 2 = 0 या 2x - 3 = 0
=> x = -2 या 2x = 3
=> x =-2 या x = 3 / 2 (दिए गए समीकरण के मूल हे )
(III ) 
√2 x + 5 = 0 और x + √2 = 0
√2x =-5 और x = -√2
x = -5 /√2 और x = -√2. उत्तर
(iv)
4x -1 = 0 या 4x -1 =0
4x = 1 या 4x = 1
x = 1 / 4 , 1 /4
(v ) 
ENGLISH TRANSLATION :
Question - (1) Find the roots of the following quadratic equations by factorization method?
Solution : X^2 -3X -10 = 0
=> X^2 -5X +2X -10 =0
=> X (X - 5 ) +2 (X - 5 ) =0
=> (X -5 ) (X + 2 ) = 0
=> x -5 = 0 or x + 2 = 0
=> X = 5 or X = -2 : Answer
(II)
x + 2 = 0 or 2x - 3 = 0
=> x = -2 or 2x = 3
=> x = -2 or x = 3 / 2 (the root of the given equation)
(iii)
√2x = –5 and x = –√2
x = -5 /√2 and x = -√2. Answer
(iv)
4x -1 = 0 or 4x -1 =0
4x = 1 or 4x = 1
x = 1/4 , 1/4
(V )