Complete set u = {1,2,3,4}, a = {X / X × x-5x + P = 0}, CUA = {x × x-qx + 6 = 0}, find the value of P, q?

Complete set u = {1,2,3,4}, a = {X / X × x-5x + P = 0}, CUA = {x × x-qx + 6 = 0}, find the value of P, q?

analysis,
A＝｛x|x²－5x+p＝0},
C(U)A={x|x²-qx+6},
Let the element in a be {a, B}
a*b=p,a+b=5
Let C (U) a = {m, n}
m+n=q,m*n=6
Also, u = {1,2,3,4}
C (U) a can only be equal to {2,3}
Therefore, q = 5
∴A={1,4}
Therefore, P = 1 * 4 = 4
In conclusion, q = 5, P = 4

Given that u = {1,2,3,4,5}, a = {x ‖ x ^ 2-5x + q = 0} and a ≠￠ A is contained in U, find CUA and Q

Because a is not an empty set, then we know that X1 + x2 = 5 and that there are two elements in a and they are not equal. So a = {1,4} or {2,3} satisfying the meaning of the problem is q = 4 or 6, CUA = {2,3,5} or {1,4,5}