If `1/sqrtalpha` and `1/sqrtbeta` are the roots of the equation `ax^2+bx+1=0` then the equation `x(x+b^3)+(a^3-3abx)=0` has roots

If (1)/(sqrt(alpha)) and (1)/(sqrt(beta)) are the roots of equation ax^(2)+bx+1=0(a!=0,(a,b in R)), then the equation x(x+b^(3))+(a^(3)-3abx)=0 has roots -

If alpha and beta are the roots of ax^2+bx+c =0, then the equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

If x=1/3 , -1 are the roots of the equation ax^2+bx-1=0 ,find a and b.

If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , then

If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , then

If alpha and beta are the roots of ax^(2)+bx+c=0 then the equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 has roots

if alpha&beta are the roots of the quadratic equation ax^2 + bx + c = 0 , then the quadratic equation ax^2-bx(x-1)+c(x-1)^2 =0 has roots

if alpha& beta are the roots of the quadratic equation ax^(2)+bx+c=0, then the quadratic equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 has roots

If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d =0 then a+2b+c=