Let X and y be the two real roots of the equation m2-2am + A + 6 = 0, then the minimum value of (x-1) 2 + (Y-1) 2 is () A. -1214B. 18C. 8D. 34
Then (x-1) 2 + (Y-1) 2 = x2 + y2-2 (x + y) + 2 = (x + y) 2-2xy-2 (x + y) + 2 = (2a) 2-2 (a + 6) - 4A + 2 = 4a2-6a-10 = 4 (a-34) 2-494
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- 1. Let X and y be the two real roots of the equation m2-2am + A + 6 = 0, then the minimum value of (x-1) 2 + (Y-1) 2 is () A. -1214B. 18C. 8D. 34
- 2. Given that two equations x2 + 2bx + a = 0 and X2 + ax + 2B have and only have one common root, then the minimum value of A2 + B2 is
- 3. a. If B is a positive number and the equation x square + 2bx + a = 0 and x square + ax + 2B = 0 have a common root on the X axis, what is the minimum value of a square + b square
- 4. If the quadratic equations 3x-7 = 0, 2x + 3y-1 = 0 and 2x + y-m = 0 have common solutions, then the value of? Is?
- 5. The third power of a * the third power of 2A * the third power of 3A
- 6. It is known that the solution of binary linear equations ax by = 6, BX + ay = 17 is x = 4, y = 3, then a = B=
- 7. Xiao Ming and Zhang Fan solve a system of quadratic equations ax + by = 16 (1) BX + ay + 1 (2) Xiao Ming miscopies equation 1 and obtains the solution as x = - 1, y = 3 Zhang Fan copied equation 2 wrong and got the solution as x = 3, y = 2
- 8. Xiao Ming and Xiao Wen solve a system of linear equations of two variables {cx-3y = - 2 ax + by = 2, Xiao Ming correctly solves x = 1 y = - 1, and Xiao Wen wrongly copies the solution of C to get x = 2 y = - 6 It is known that there is no other error except for copying error C in Xiaowen. Find the value of a + B + C
- 9. On the system of equations 2x-my = 25, x = 3Y of X, y, the solution is a positive integer
- 10. Given the solution x = 4 y = - 3 of the system of linear equations x + my = 4 NX + 3Y = 2, we can find the value of M + n
- 11. Let X and y be the two real roots of the equation m2-2am + A + 6 = 0, then the minimum value of (x-1) 2 + (Y-1) 2 is () A. -1214B. 18C. 8D. 34
- 12. If n (n ≠ 0) is the root of the equation x2 + MX + 2n = 0, then the value of M + n is () A. 1B. 2C. -1D. -2
- 13. If the real number m, n satisfies the relation m + n = 4, find the minimum value of m ^ L2 + n ^ 2
- 14. If XY < 0, then the absolute value of X in X + the absolute value of Y in Y is () a, 0 B If XY < 0, then the absolute value of X in X + the absolute value of Y in Y is () A,0 B,2 C,-2 D,1
- 15. If the set {x, XY, LG (XY)} = {absolute value x, y, O}, find the value of log (x ^ 2 + y ^ 2)
- 16. Given a = {x, XY. X minus y} B = {0, absolute value x, y} and a = B, find x, y RT has been calculating for a long time, but I can't work it out
- 17. If the absolute value of a is equal to negative a, what is the range of a?
- 18. If the absolute value of A-2 = 2-A, find the value range of A
- 19. If the absolute value of a + 2 is + 2 + a = 0, find the value range of A The process also needs to be written
- 20. The absolute value of A-1 = - (A-1), and the value range of a is?