निम्नलिखित समीकरणों को गुणनखंड विधि से हल कीजिए-
(i) `x^(2)+4=0` (ii) `x^(2)+5=0`
(iii) `4x^(2)+9=0` (iv) `x^(2)-4x+29=0`
(v) `4x^(2)-12 x+45=0`

Solve: 4x^(2)-12x+9=0.

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

Solve the following equations by factorization method : (i) x^(2)+4=0 (ii) x^(2)+5=0 (iii) 4x^(2) +9=0 (iv) x^(2)-4x+29=0 (v) 4 x^(2) -12x+45 =0

निम्नलिखित समीकरणों को गुणनखंड विधि द्वारा हल करें- (2x)/(x-3)+1/(2x+3)+(3x+9 )/((x-3)(2x+3))=0

Solve : (i) x^(4)-2x^(2)-3=0 (ii) x^(4)-10x^(2)+9=0

Disuss that nature of roots of (i) -x^(2)+3x+1=0 (ii) 4x^(2)=0 (iii) 9x^(2)+5x=0

Solve: (i) 3x^(2)-4x+(20)/(3)=0 . (ii) x^(2)-2x+(2)/(3)=0 .

Determine the nature of the roots of the following quadratic equations from their discriminant : (i) 3y^(2) + 9y+4=0 (ii) 2x^(2) + 5 sqrt(3)x + 16=0 (iii) 4x^(2) + 12x + 9=0 (iv) m^(2) + sqrt(2) m +1=0 (v) x^(2) - (1)/(2) x + (1)/( 16) = 0 (vi) x^(2) - 4x -4=0

Solve the following quadratic equations by factorisation method : (i) x^(3) - 4x + 3 = 0 (ii) m^(2) - m - 2 = 0 (iii) p^(2) + 9p + 20 =0 (iv) q^(2) + q-12= 0 (v) y^(2) + 2y - 35= 0 (vi) 3x^(2) + 5x= 0 (vii) x^(2) - 7x + 12=0 (viii) x^(2) - 7x - 18 = 0

Examine the nature of the roots of the equations (i) 2x^(2)+2x+3=0 (ii) 2x^(2)-7x+3=0 (iii) x^(2)_5x-2=0 (iv) 4x^(2)-4x+1=0