Consider a quadratic equation whose roots `3x^2-5x+4=0` whose roots are `alpha and beta` Find `1/((1+alpha)^2) +1/((1+beta)^2) -2(1/(1+alpha)+1/(1+beta))`

If alpha and beta are the roots of 2x^2-5x+3=0 form the equation whose roots are alpha+beta and 1/alpha+1/beta

If the roots of the quadratic equation 5x^2 - 2x - 3 = 0 be alpha and beta , find the value of (1)/(alpha)+(1)/(beta) .

If alpha and beta are the roots of 3x^2+7x-5=0 form the equations whose roots are alpha-1 and beta-1 .

Consider the equation 3x^2 +4x - 5 = 0 , if alpha,beta are the roots, then 1/alpha + 1/beta =

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are alpha+(1)/(beta) and beta+(1)/(alpha) is

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

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are (alpha+beta)^(-1) , alpha^(-1)+ beta^(-1) is

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