[xx^(2)+(b+2c)x+a+b+c=0.2y alpha beta,y" are ith "],[" roots of the "e^(n)a^(3)+2x^(2)+3b+3=0" .Than "],[" walue "y((a)/(alpha+1))^(3)+((beta)/(beta+1))^(3)+((y)/(y+1))^(3)" is i "]

If alpha,beta,gamma are the roots of the equation x^(3)+2x^(2)+3x+3=0, then the value of ((alpha)/(alpha+1))^(3)+((beta)/(beta+1))^(3)+((gamma)/(gamma+1))^(3) is

IF alpha , beta are the roots of ax ^2 + bx +c=0 then ((alpha )/( a beta + b) )^(3) - ( ( beta )/( a alpha + b )) ^(3)=

If alpha,beta,gamma are the roots of the equation x^(3)+ax+b=0, then (alpha^(3)+beta^(3)+y^(3))/(alpha^(2)+beta^(2)+gamma^(2))=

If alpha and beta are roots of x^(2)-2x+3=0, then the equation whose roots are (alpha-1)/(alpha+1) and (beta-1)/(beta+1) will be

If the roots of the equation ax^(2)-bx+c=0 are alpha,beta, then the roots of the equation b^(2)cx^(2)-ab^(2)x+a^(3)=0 are (1)/(alpha^(3)+alpha beta),(1)/(beta^(3)+alpha beta) b.(1)/(alpha^(2)+alpha beta),(1)/(beta^(2)+alpha beta) c.(1)/(alpha^(4)+alpha beta),(1)/(beta^(4)+alpha beta) d.none of these

If alpha, beta are the roots of the equation 5x^(2)-5x+1=0 , then find the value of (1)/(2)(a+b alpha+c alpha^(2)+d alpha^(3))+(1)/(2)(a+b beta+c beta^(2)+d beta^(3)) .

alpha,beta are roots of y^2-2y-7=0 . Find alpha^3+beta^3

If alpha and beta are the roots of x^(2)-2x+2=0 and cottheta=y+1,show ((y+alpha)^(n)-(y+beta)^(n))/(alpha-beta)=(sinntheta)/(sin^(n)theta)