If `alpha, beta` is the root of the quadratic equation `cx^2 - 2bx + 4a = 0`, then find the quadratic equation of which roots are (i) `alpha/2, beta/2` (ii) `alpha^2, beta^2` (iii) `alpha+1, beta+1`

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

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

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

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

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

If alpha " & " beta are the roots of equation ax^(2) + bx + c = 0 then find the quadratic equation whose roots are alpha + 1 " & " beta + 1

if alpha and beta are the roots of the quadratic equation x^(2)-3.x-2=0, find a quadratic equation whose roots are (1)/(2 alpha+beta) and (1)/(2 beta+alpha)

If alpha and beta are the roots of quadratic equation x^2+5x-1=0 then, find alpha^2+beta^2