" 神 (ii) "9x^(2)-3x-2=0

Solve by factorization: 9x^(2)-3x-2=0

Factorise the following (i) 9x^(2)-12x+3 " " (ii) 9x^(2)-12x+4

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=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

Solve the quadratic equation having real roots by quadratic formulae :(i)9x^(2)+7x-2=0 (ii) 6x^(2)+x-2=0

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

In each of the following find the value of 'a' : (i) 4x^(2)+ax+9=(2x+3)^(2) (ii) 9x^(2)+(7a-5)x+25=(3x+5)^(2)

Write the values of alpha + beta and alpha beta for the following quadratic equations : (i) 4x^(2) - 5x - 3 = 0 (ii) x^(2) + 9x - 10 = 0

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