If a represents a rational number, what is the minimum value of the following formula? (A-1) square-3

The minimum is - 3

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1. For any rational number a, find the minimum of the absolute value of - 1 - A + 5 and the maximum of the absolute value of 4-a
2. It is known that if the rational number satisfies (M + n / 4) ^ 2 + | n ^ 2-4 | = 0, what is the square value of square n of M
3. Given that a, B ∈ R, and A2 + AB + B2 = 3, let the maximum and minimum of a2-ab + B2 be m, m respectively, then M + M=______ ．
4. a. B, C, D are positive integers, and a + B = 20, a + C = 24, a + D = 22. Let the maximum value of a + B + C + d be m, and the minimum value be n, then m-n=______ ．
5. If a, B ∈ R, and 4 ≤ A2 + B2 ≤ 9, then the sum of the maximum and minimum of A2 AB + B2 is______ ．
6. 5. If M can be any rational number, then the minimum value of | m-2 | + 3 is? d..
7. If M is a rational number, what is the minimum absolute value of M
8. It is known that x equals 2m plus 1, and Y equals 2m minus 1,
9. The solution of {x + y = m + 2; 4x + 5Y = 6m + 3} is an integer
10. When m is an integer, the value of fraction 6m + 3 / 2m-1 is also an integer
11. A. B is a rational number, so what is the minimum value of the square-3 of (a, b)? When taking the minimum value, what is the relationship between a and B
12. If x is a rational number, what are the maximum and minimum values of | X-1 | - | x + 3 |?
13. X is a rational number, the minimum of | x + 1 | + | X-2 | + | x-3 |. The maximum of | x-3 | - | x + 2 |?
14. X is a rational number, and the minimum value of (x + 1) ^ 2 + 3 is___ The maximum value of 3-x ^ 2 is___
15. Finding the minimum value of the square of function y = x-2x + 4
16. We know the equation x2 + (M + 2) x + 2m-1 = 0 about X. (1) prove that the equation has two unequal real roots. (2) when m is the value, the two roots of the equation are opposite to each other? The solution of the equation is obtained
17. When m is a value, the equation (M + 1) x ^ 2 - (2m-1) x + M-1 = 0 has real roots? (1) when m is a value, the equation always has two real roots? 2. When the equation has two real roots and the sum of squares of the two real roots is equal to 4, find the value of M
18. X1 and X2 are the two real roots of the equation x ^ 2 - (2m-1) x + (m ^ 2 + 2m-4) = 0, and find the minimum value of X1 ^ 2 + x2 ^ 2
19. The sum of three continuous natural numbers is 255. How many are the three natural numbers
20. There are several natural numbers 1, 2, 3. N, and there are 53 zeros at the end of the known product, so we can find the maximum value of n