We know that M is a quadratic trinomial about X, n is a quartic trinomial about X, then Mn is a few times trinomial about X

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• 1. It is known that the equation m (4x + 5) + n (3x-4) = 17x-2 about X has infinite solutions
• 2. Solving the equation mnx-n square = mn-m square x with respect to X
• 3. It is known that x = 1, y = - 1 is the solution of the equation Mn + 2ny = 0, x = m, yn is the solution of the equation 3x + y = 7, finding the value of M and N is a process plus There is a wrong number: x = m, y = n, missing an equal sign, now there is nothing wrong! Hee hee,
• 4. The solution of the equation 2x-5-1 = 0 is the solution of the one variable linear equation (M + 1 / 2) x ^ 2 + 4x + n = 3x + 1 about X. find the solution of m ^ 2 + Mn + n ^ 2
• 5. The coordinates of the point m (- 2,1) which is symmetric about the X axis are______ The position relationship between the line Mn and the x-axis is______ ．
• 6. If the coordinates of points m and N are (- 2,3) and (- 2, - 3), then the position relationship between the line Mn and the Y axis is______ ．
• 7. If the points m (- 3,5), n (- 3, - 9), then the position relations of the line Mn with the x-axis and y-axis are
• 8. If the points m (a + 1,2), n (3, b-2) and Mn are parallel to the y-axis, find ab The satisfying conditions of ab
• 9. Given two points a (- 3, m) B (n, 4), if AB / / X axis, find the value of m to determine the range of n Given two points a (2ya), B (XB, - 3), the coordinates of two points a and B can be obtained according to the following conditions 1. A and B are symmetric about X axis 2. A and B are symmetric about y axis 3. A and B are symmetric about origin
• 10. Given that points a (- 2,0), m and N are the moving points on the x-axis and y-axis respectively, the vector am multiplies the vector Mn = 0, and the vector MB = the vector BN The trajectory of the recording point B is a curve C 1. Find the equation of curve C 2. It is known that the moving straight line L intersects with the curve C at P and Q. the tangent lines of the curve C at P and Q are L1 and L2, and L1 is perpendicular to L2. It is proved that l passes through the fixed point
• 11. (m-2) x octave-x ^ n-1) + 3x + n is a quartic trinomial about X, and we can find the value of Mn
• 12. The value of the known algebraic formula (2x + m) (3x + 2) - NX (x + 3) + 5 has nothing to do with the value of X, so we can find the value of Mn
• 13. If the vector 3M + 2n = a.m-n = B, denote Mn with ab
• 14. If M and N are opposite numbers, then the value of 1 / 2m ^ 2 + Mn + 1 / 2n ^ 2 is______
• 15. Given (m-2) ^ 2 + | 2m-n | = 0, find the value of m ^ 2-MN + 2n ^ 2,
• 16. (16-m ^ 2) ^ 2 + 4 √ m-2n / M + 4 = 0, find the value of √ Mn ^ 2 It's urgent
• 17. 2m Mn of mn-4, where M = 2, n = - 3
• 18. m. N is a positive integer, and nm = 120. What is the minimum value of M + n?
• 19. Let m and n be two positive integers, and Mn > k (k is a positive integer greater than 1), and find the minimum value of M + n
• 20. If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is If (3 ^ 8) ^ n = (3 ^ 6) ^ m Mn are all positive integers, then the minimum value of Mn is