It is known that P and Q are positive integers, and the two roots of the equation 7X2 PX + 2009q = 0 are prime numbers, then p + Q=______ ．

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• 1. If both a and B are integers, and the difference of equation AX2 + bx-2008 = 0 is prime, then the value of 3A + B is () A. 100B. 400C. 700D. 1000
• 2. The solution set of absolute value inequality / 2x + 1 / greater than 1 is
• 3. It is known that f (x) is an odd function defined on R, and when x > 0, f (x) = x (X-2), find the analytic expression of F (x). Note (X-2) is an absolute value
• 4. It is known that f (x) is an odd function defined on R. when x ≥ 0, f (x) = x2-2x, then the expression of F (x) on (- ∞, 0) is______ ．
• 5. It is known that the odd function f (x) defined on R satisfies f (x + 4) = - f (x) and is an increasing function in the interval [0,2]. If the equation f (x) = m (M > 0) has four different roots x1, X2, X3, X4 in the interval [- 8,8], then what is X1 + x2 + X3 + X4 equal to
• 6. It is known that the odd function f (x) defined on R satisfies f (x-4) = - f (x) and is an increasing function in the interval [0,2]. If the equation f (x) = m (M > 0) has four different roots x1, X2, X3, X4 in the interval [- 8,8], then X1 + x2 + X3 + X4 =
• 7. If f (x) is an even function defined on R with period of 3 and f (2) = 0, then the minimum number of solutions of the equation f (x) = 0 in the interval (0,6) is () A. 5B. 4C. 3D. 2
• 8. If it is known that the function f (x) defined on R is an odd function with period 2, then the equation f (x) has at least two properties in the interval [- 2,2]_____ A real number root If f (0) = 0, f (- 1) = - f (1) is obtained by odd function, and if f (2) = f (- 2) = f (0), f (1) = f (- 1) is obtained by period 2, then f (2) = f (- 2) = f (1) = f (- 1) = f (0) = 0, that is, there are at least five real roots I don't understand the answer“ So f (2) = f (- 2) = f (1) = f (- 1) = f (0) = 0 How can f (- 2) be equal to F (1) and f(-1) Where else do you get five real roots?
• 9. The area of the smaller figure enclosed by y = | x | and circle x ^ 2 + y ^ 2 = 4 is a: π / 4 B: π C: 3 π / 4 D: 3 π / 2
• 10. What is the larger area of the figure enclosed by y = | x | and circle x ^ 2 + y ^ 2 = 4
• 11. If M and N are positive integers and the two roots of equation 1 / 2mx ^ 2-1 / 2nx + 1999 = 0 are prime numbers, then 6m ^ 2 + n-1=
• 12. It is known that P and Q are positive integers, and the two roots of the equation 7X2 PX + 2009q = 0 are prime numbers, then p + Q=______ ．
• 13. Given that the equation | x | = ax + 1 has a negative root but no positive root, the value range of a is () A. A ≥ 1b. A ＜ 1C. - 1 ＜ a ＜ 1D. A ＞ - 1 and a ≠ 0
• 14. It is known that the equation | x | = ax-a has positive roots and no negative roots, and the value range of a is obtained
• 15. Given that the absolute value of equation x = ax + 1 has a negative root but no positive root, then the value range of a is larger |x|=ax+1 When x > = 0, x = ax + 1, according to the meaning of the problem, the equation has no solution (at this time a = 1), or only negative solution (at this time 1-A = 1) When X-1 Finally, it is concluded that: a > = 1 ———————————————————————————— The question is not to say that there are negative roots but no positive roots. Why does the equation have no solution when a = 1 also count in the answer
• 16. It is known that the function y = f (x) is a quadratic function, and f (- 3 / 2 + x) = f (- 3 / 2-x), f (- 3 / 2) = 49, and the difference between the two real roots of the equation f (x) = 0 is equal to 7 Finding the analytic expression of quadratic function
• 17. It is known that the absolute value of K of the polynomial. XY - 4 / 7 (K-2) y to the second power + 5 is a cubic trinomial of. XY. Find the value of K In class. I didn't listen to the teacher carefully. Please elaborate.
• 18. Given the absolute value of x-2y + (X-2) to the second power = 0, then xy = what
• 19. If | x − 2Y | + y + 2 = 0, then the value of XY is______ ．
• 20. There are several sets of integer solutions to the system of equations 2 (x + 2) = XY + 7