It is known that the equation m (4x + 5) + n (3x-4) = 17x-2 about X has infinite solutions
m(4x+5)+n(3x-4)=17x-2
(4m+3n-17)x=4n-5m-2
When 4m + 3n-17 = 4n-5m-2 = 0, it holds no matter when x takes any value
4m+3n-17=0 (1)
4n-5m-2=0 (2)
(1)*5+(2)*4
20m+15n-85+16n-20m-8=0
31n-93=0
n=3
m=(4n-2)/5=2
mn=6
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- 6. 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
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- 9. 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
- 10. As shown in the figure, a given line segment AB is divided into 2:3 segments by point m, and 4:1 segments by point n. if Mn is equal to 5cm, then the line segment BN=________ .
- 11. 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
- 12. (m-2) x octave-x ^ n-1) + 3x + n is a quartic trinomial about X, and we can find the value of Mn
- 13. 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
- 14. If the vector 3M + 2n = a.m-n = B, denote Mn with ab
- 15. If M and N are opposite numbers, then the value of 1 / 2m ^ 2 + Mn + 1 / 2n ^ 2 is______
- 16. Given (m-2) ^ 2 + | 2m-n | = 0, find the value of m ^ 2-MN + 2n ^ 2,
- 17. (16-m ^ 2) ^ 2 + 4 √ m-2n / M + 4 = 0, find the value of √ Mn ^ 2 It's urgent
- 18. 2m Mn of mn-4, where M = 2, n = - 3
- 19. m. N is a positive integer, and nm = 120. What is the minimum value of M + n?
- 20. 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