" (ii) "alpha^(2),beta^(2)

If alpha and beta are roots of the quadratic polynomial f(x)=px^(2)+qx+r ;then find the value of (i) alpha^(2)+beta^(2)( ii) (alpha)/(beta)+(beta)/(alpha) (iii) (1)/(alpha^(3))+(1)/(beta^(3))( iv )(alpha^(2))/(beta)+(beta^(2))/(alpha)

If alpha,beta re the roots of ax^(2)+c=bx, then the equation (a+cy)^(2)=b^(2)y in y has the roots a.alpha beta^(-1),alpha^(-1)beta b.alpha^(-2),beta^(-2) c.alpha^(-1),beta^(-1) d.alpha^(2),beta^(2)

If alpha,beta " are the roots of the equation "x^(2) - 2x - 1 =0, "then what is the value of " alpha^(2)beta^(-2)+alpha^(-2)beta^(2)

If alpha and beta are the roots of the equation x^(2)-x-1=0 , then what is (alpha^(2)+beta^(2))/((alpha^(2)-beta^(2))(alpha-beta)) equal to ?

If alpha and beta the roots of the equation ax^(2)+bx+c=0 then the sum of roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0(i)-(alpha^(2)-beta^(2))(ii)(alpha+beta)^(2)-2 alpha beta(iii)alpha^(2)beta+beta^(2)alpha+2 alpha beta(iv)(alpha^(2)+beta^(2))

If alpha+beta=1 , and alpha.beta=-(3)/(2) , then find alpha^(2)+beta^(2)=