[" 4.If "alpha,beta" be the roots of the equation "ax^(2)+bx+c=0" ,find the value of "],[[" (i) "alpha^(2)+beta^(2)," (ii) "(alpha)/(beta)+(beta)/(alpha)," (iii) "alpha^(3)+beta^(3)," (iv) "| alpha-beta|]]

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alpha,beta are the roots of ax^(2)+bx+c=0 , find the value of (i) ((alpha)/(beta)-(beta)/(alpha))^(2) (ii) (alpha^(3))/(beta)+(beta^(3))/(alpha) .

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then the value of alpha^(3)+beta^(3)

If alpha, beta are the roots of the equation ax^2 + bx +c=0 then the value of (1+alpha+alpha^2)(1+beta+beta^2) is

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)

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^2 + beta^2

If alpha and beta are roots of ax^(2) + bx + c = 0 , then find the value of a((alpha^(2) + beta^(2))/(beta alpha)) + b((alpha)/(beta) + (beta)/(alpha))

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)