[" (if) "2x^(2)+x-4=0],[" (iv) "2x^(2)+x+4=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

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

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

Find the roots of the following quadratic equations,if they exist,by the method of completing the square: (i) 2x^(2)-7x+3=0 (ii) quad 2x^(2)+x-4=0 (iii) (iv)

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 roots of the quadratic equations by applying the quadratic formula.(i) 2x^(2)-7x+3=0 (ii) 2x^(2)+x-4=0 (iii) 4x^(2)+4sqrt(3)x+3=0( iv )2x^(2)+x+4=0

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Write the discriminant of the following quadratic equations: x^(2)-4x+2=0 (ii) 3x^(2)+2x-1=0 (iii) x^(2)-4x+a=0