Let alpha and beta be the two real roots of the equation x2-ax + B = 0. Let a > 2 and b > 1 be two What is the condition that "alpha, beta" are greater than 1? How can we find the range of B if we add the condition that a2-4b > 0 and a is greater than 2?

Let alpha and beta be the two real roots of the equation x2-ax + B = 0. Let a > 2 and b > 1 be two What is the condition that "alpha, beta" are greater than 1? How can we find the range of B if we add the condition that a2-4b > 0 and a is greater than 2?

For example, alpha = 10000, beta = 0.1, although a is greater than 2, B is greater than 1, but beta is less than 1. For another problem, it is impossible to find the range of B. B is any position, because when a is large, B can be large, and B can be infinitely small, so B is all real numbers