X & # 178; - 4ax + 3A & # 178; = 1-2a Does X have a real number
x²-4ax+3a²=1-2a
x²-4ax+4a²=1-2a+a²
(x-2a)^2=(1-a)^2
So x-2a = 1-A or x-a = A-1
So x = 1 + A or x = 3a-1
RELATED INFORMATIONS
- 1. Calculate 2A · (x-3a) = (x + 1) (X & # 178; - x + 1) Calculate the following questions - 2 / 3x & # 178; Y (2x-3 / 1xy + Y & # 178;), (3x-2y) & # 178; · (3x + 2Y) & # 178;
- 2. (2a + b) (2a-3b) + 3A (2a + b) and X (x + y) (X-Y) - x (x + y) &; 4a (x + y) - 6x-6y and a (a-b) - AB + B & # 178;
- 3. Given the complete set u = {1,2,3,4,5}, a = {x | x2-5x + M = 0}, B = {x | x2 + NX + 12 = 0}, and (∁ UA) ∪ B = {1,3,4,5}, can you find the value of M + n?
- 4. Let u = {1,2,3,4}, a = {x vertical line X & # 178; - 5x + M = 0} If a is contained in U, find the range of M The answer is m = 4 or M = 6 or m greater than 25 out of 4
- 5. If u = {1,2,3,4,0}, a = {1,2,3}, B = {2,4}, then cuaub is A{0,2,4} B{2,3,4} C{1,2,4} D{0,2,3,4}
- 6. A function f (x) defined on a positive integer set has f (M + n) = f (m) + F (n) + 4 (M + n) - 2 for any m, n ∈ n *, and f (1) = 1 (1) Find the expression of function f (x); (2) If m ^ 2-tm-1 ≤ f (x) belongs to [- 1,1] for any m and X belongs to n * constant, the value range of real number T is obtained; (3) For any positive integer n, there are always m + 1 real numbers A1, A2,... In [2, N + 16 / N] , am, am + 1, so that f (A1) + F (A2) + +f(am)
- 7. The function f (x) defined in positive integer set has f (M + n) = f (m) + F (n) + 4 (M + n) -· 2 for any m, N, and f (1) = 1 If m ^ 2-tm-1
- 8. For any m, n ∈ n +, f (M + n) = f (m) + F (n) + 4 (M + n) - 2, f (1) = 1 1. Find the expression of F (x) 2. M ∧ 2-tm-1 ≤ f (x) for any m ∈ [- 1,1], X ∈ n + is constant, find the value range of real number t
- 9. The function y = f (x) defined on positive integer set has f (a + b) = f (a) * f (b) constant for any a, B ∈ n Let f (1) = a ≠ 0, if an = f (n) (n ∈ n +) (1) Prove: the sequence {an} is an equal ratio sequence, and find out the general term formula of the sequence {an} (2) If Sn = a1 + A2 + +An, the sequence {sn-2an} is an equal ratio sequence, find the value of real number a
- 10. 6. Given that the function f (n) defined on a positive integer satisfies the following condition (1) f (M + n) = f (m) + F (n) + Mn (2) f (3) = 6, then f (2000) =?
- 11. Let a = {X & # 178; + (2a-3) x-3a = 0}, B = {X & # 178; + (A-3) x + A & # 178; - 3A = 0}, if a ≠ B, a ∩ B ≠ empty set, try to find a ∪ B
- 12. Given the set a = {x | 2A ≤ x ≤ A & # 178; + 1}, B = = {x | X & # 178; - 3 (a + 1) x + 2 (3a + 1) ≤ 0} a ∈ R, if B contains the range of a for a?
- 13. The known set a = {X / x ^ 2-4ax + 3A ^ 2
- 14. The known set a = {X / - 4
- 15. The known set a = {x | - 2
- 16. The coordinates of the intersection of the parabola y = x & # 178; - 3x-2 and the x-axis, fast,
- 17. The parabola y = 2x & # 178; - 3x + m has two intersection points with the straight line y = - 3x + 1 If M = - 1, find the length of the line cut by the parabola?
- 18. Set a = {x 2 + 3x + 2 = 0}, B = {x 2 + (M + 1) x + M = 0}. If a is contained in B, find the value of M
- 19. After playing football, two students studied the number of black and white blocks in football. They found that black blocks were Pentagon, white blocks were hexagon, and black and white, white blocks were more. They output 12 black blocks, but the number of white blocks was different. Can you use the equation to help them solve this problem It's tonight~
- 20. At 8:00 a.m., someone took a boat with bamboo and went upstream. At 10:30 a.m., he found a bundle of bamboo falling into the river. He immediately turned around and went downstream to chase it. It took him 30 minutes to catch up with the bamboo pole. When did the bamboo pole fall into the water? 2. A group of infantry is advancing at a constant speed of 5.4 km / h. the correspondent runs from the end of the team to the head of the team and immediately returns to the end of the team. If the correspondent's speed is 21.6 km / h, what is the length of the infantry line?