If `alpha` and `beta` be the roots of equation `x^(2) + 3x + 1 = 0` then the value of `((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2)` is equal to

If alpha and beta be the roots of the equation x^(2)+3x+1=0 then the value of ((alpha)/(1+beta))^(2)+((beta)/(alpha+1))^(2)

If alpha and beta are the roots of the equation, 7x^2 -3x -2 = 0 , then the value of (alpha )/(1 - alpha^2) + (beta)/(1 + beta^2) is equal to :

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

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

If alpha, beta are the roots of equation 3x^(2)-4x+2=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

If alpha and beta be the roots of the equation x^2-1=0 , then show that. alpha+beta=(1)/(alpha)+(1)/(beta)

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)