Given that the function y = (K & # 178; + 4k-5) x & # 178; + 4 (1-k) x + 3 > 0 holds for any real number x, find the value range of real number K

There are several situations
(1) When (K & # 178; + 4k-5) = 0, k = 1 or K = - 5
When k = 1, the function becomes y = 3, and it really always satisfies Y > 0
When k = - 5, the function becomes y = 24x + 3, which does not satisfy Y > 0 for any real number

RELATED INFORMATIONS

1. Given the function y = (A-2) x-3a-1, when the value range of the independent variable x is 3 ≤ x ≤ 5, y can reach a value greater than 5 and a value less than 3, then the value range of the real number a is () A. A ＜ 3B. A ＞ 5C. A ＞ 8D. Any real number
2. Given the function f (x) = {X & sup2; + 4x, X ≥ 0.4x-x & sup2; x < 0. If f (2-A & sup2;) > F (a), then the value range of real number a x²4x,x≥0 Given function f (x)={ 4x-x² ,x＜0. If f (2-A & # 178;) > F (a), then the value range of real number a
3. If the function y = the independent variable of [KX's Square - 6kx + K + 8] under the root sign, take all real numbers and find the value range of constant K
4. When k is a value, the domain of the function y = KX + 2 / KX ^ 2 + 4kx + 3 is all real numbers
5. In quadratic function y = - x2-2x + 3, the value range of independent variable x
6. Given that FX = √ 3-ax / A-1 (a ≠ 1), if FX is a decreasing function in the interval (0,1), then the value range of real number a is? Given FX = √ 3-ax / A-1 (a ≠ 1), if FX is a decreasing function in the interval (0,1), then the value range of real number a
7. If the function f (x) = x2 + 2 (A-1) x + 2 is a decreasing function on (- ∞, 4], then the value range of real number a is () A. a≤-3B. a≥-3C. a≤5D. a≥5
8. Given that the image of the function y = | x2-1 | X-1 has exactly two intersections with the image of the function y = KX, then the value range of the real number k is Function y= |x2-1| x-1 = |x+1| • |x-1| x-1 = x+1 ,x＞1 -(x+1) ,-1≤ x＜1 x+1 ,x＜-1 x+1 ,x＞1 -(x+1) ,-1≤ x＜1 x+1 ,x＜-1 How did you get here?
9. When the point m (x, y) moves in the triangle ABC (including boundary) as shown in the figure, the optimal solution of the maximum value of the objective function z = KX + y is (1,2), then the value range of the real number k is______ ．
10. It is known that ABC is a real number and B + C of a = C + a of B = a + B of C = K? If the title, seek detailed explanation
11. The line L passing through the point P (- 2 √ 2,0) intersects the circle O: X * 2 + y * 2 = 4 with two points a and B, and finds the maximum OAB area of the triangle and the L equation
12. When the area of triangle CPQ is the largest, the equation of line L is--
13. If the area of triangle AOB is 3.5, the equation of line L is solved
14. The line L: y = K (x + 2) and circle x2 + y2 = 4 intersect at two points a and B, O is the coordinate origin, the area of △ ABO is s, and the expression of S = f (k) is obtained
15. It is known that the line L: y = K (x + 2 √ 2) and the circle O: x ^ 2 + y ^ 2 = 4 intersect at two points a and B. o is the origin of the coordinate and the area of the triangle abo It is known that the line L: y = K (x + 2 √ 2) and the circle O: x ^ 2 + y ^ 2 = 4 intersect at two points a and B, O is the origin of the coordinate, and the area of the triangle ABO is s ① Try to express s as a function s (k) and find its domain of definition ② Find the maximum value of S and the value of K when the maximum value is obtained
16. It is known that the line L: y = K (x + 2 √ 2) intersects the circle 0: X & sup2; + Y & sup2; = 4 at two points a and B, O is the origin of the coordinate, and the area of the triangle ABO is s (1) Try to express s as a function s (k) and find its domain of definition; (2) Find the maximum value of S and the value of K when the maximum value is obtained (√ means under the root)
17. What is the coefficient of the cube of the square y of the monomial negative 9x divided by 5? Nothing to add!
18. To process 4 / 7 × 5 / 6 × 6 / 24 × (5 / 12 + 7 / 8) 4 out of 7 × 5 out of 6 × 6 24 × (5 / 12 + 7 / 8) 1 / 9 × (120 × 18) × 1 / 24 6 / 11 × 7 / 8-5 / 12 × 6 / 11 11 / 4 × [7 / 11 (1 + 3 / 7)] Practical questions In the past three years, Populus huanglinensis has planted 600000 trees, of which three fifths are pine trees and one third are Cunninghamia lanceolata trees. How many Cunninghamia lanceolata trees are there? Father's monthly salary is 3200 yuan, mother's monthly salary is 2000 yuan, family living expenses are used every month, 3 / 10 of the salary, how much is the monthly family living expenses?
19. Mother said, "when you grow up, you have to learn to see a doctor yourself." mother said to the woman loudly, "I'm glad he likes reading books."
20. On the map of 1:250000 scale, the distance between the two cities is 12 cm. On the map of 1:1000000 scale, what is the distance between the two cities? A chemical fertilizer plant produces a batch of chemical fertilizers, 90 tons in the first five days. According to this calculation, it took 12 days to produce this batch of chemical fertilizers. How many tons are there in this batch of chemical fertilizers With the above question: () and () are in proportion, () must be