A = {x 2-3x + 2 = 0} B = {x 2-4x + a = 0} if a u b = a, the range of a

A = {x 2-3x + 2 = 0} B = {x 2-4x + a = 0} if a u b = a, the range of a

From the known solutions of a are 2 and 1, the solutions of B are 2-radical (4-A) and 2 + radical (4-A) and a

As the value of x increases, the algebraic expressions 4x + 5 and 6x-5

As X grows
The values of both algebras are increasing

Is there a real value of x such that the value of the algebraic expression 3x ^ 2-1 / 4 is equal to that of x ^ 2 + 1 / 3

Existence
Let 3x ^ 2-1 / 4 = x ^ 2 + 1 / 3
2x^2=1/4+1/3=7/12
x^2=7/24
Open root
X = ± root (7 / 24)
=± root (42) / 12