If `alpha&beta` are the roots of the quadratic equation `a x^2+b x+c=0` , then the quadratic equation, `a x^2-b x(x-1)+c(x-1)^2=0` has roots: `alpha/(1-alpha),beta/(1-beta)` (b) `alpha-1,beta-1` `alpha/(alpha+1),beta/(beta+1)` (d) `(1-alpha)/alpha,(1-beta)/beta`

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha)+(1)/(beta) is

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

If alpha, beta are the roots of the quadratic equation cx^2- 2bx + 4a = 0 then find the quadratic equation whose roots are: (i) alpha/2, beta/2 , (ii) alpha^(2), beta^(2) , (iii) alpha + 1, beta+1 , (iv) (1+alpha)/(1-alpha) (1+beta)/(1-beta) , (v) alpha/beta, beta/alpha

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

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

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find 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 alphaa n dbeta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(3-x)+c(3-x)^2=0 are (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these