निम्नलिखित समीकरणों को हल कीजिय :
`2x^2+5x+3=0`
(ii) `2x^2-3x+1=0`
(iii) `x^2+6x+7=0`
(iv) `4x^2+2x+1//4=0`.

Factories: (i) 12x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4

Factorise:(i) 12 x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4

Factorise: (i) 12 x^2-7x+1 (ii) 2x^2+7x+3 (iii) 6x^2+5x-6 (iv) 3x^2-x-4

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

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Find the roots of the following quadratic equations i) 6sqrt5 x^(2) – 9x -3sqrt5 = 0 ii) x^(2) - x - 12 = 0 iii) 2x^(2) - 6x + 7 = 0 iv) 4x^(2) - 4x+17 = 3x^(2) -10x-17 v) x^(2) + 6x + 34 = 0 vi) 3x^(2) + 2x - 5 = 0

Determine the nature of roots of the following quadratic equations: (i) 2x^(2)+5x-4=0 (ii) 9x^(2)-6x+1=0 (iii) 3x^(2)+4x+2=0 (iv) x^(2)+2sqrt2x+1=0 (v) x^(2)+x+1=0 (vi) x^(2)+ax-4=0 (vii) 3x^(2)+7x+(1)/(2)=0 (viii) 3x^(2)-4sqrt3x+4=0 (ix) 2sqrt3x^(2)-5x+sqrt3=0 (x) (x-2a)(x-2b)=4ab