Write the quadratic equations, if
(i) `alpha + beta = -6, alpha beta = 4 ` (ii) ` alpha + beta = 8 , alpha beta = -3`

Write the quadratic equations, if (i) alpha + beta = - 10 , alpha beta = 7 (ii) alpha + beta = 4, alpha beta = - 2

Write the quadratic equation, if alpha + beta = -6 and alpha beta = -4.

alpha + beta = 5 , alpha beta= 6 .find alpha - beta

For one quadratic equation alpha^2 + beta^2 =13 " and " alpha beta =6 , then find value of alpha / beta + beta / alpha

If for one quadratic equation alpha + beta =5 " and " alpha beta =6 , then find value of alpha^2 + beta^2

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

A: The quadratic equation having roots 3 +-2 I is x^2 -6x +13 =0 R : the quadratic equation having roots alpha , beta is x^2 -( alpha + beta ) x + alpha beta =0

In a quadratic equation with roots alpha and beta where alpha+beta=-4 and alpha beta=-1 , then required equation is ……………