![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
We know the equation x2-2ax + a = 4 about X When we find the value of 1. A, the equation has two positive values? 2. What is the value of a, the equation has two different sign roots, and the absolute value of negative root is larger? 3. What is the value of a when at least one root of the equation is zero?
X ^ 2 is the square of X, the original equation can be changed to x ^ 2-2ax + A-4 = 0
From (- 2A) ^ 2-4 * (A-4) > 0 to a ^ 2-A + 4 > 0, that is, (A-1 / 2) ^ 2 + 15 / 4 > 0, we can see that no matter what value a is, the equation has two solutions
The formula of the original equation is (x-a) ^ 2 - (a ^ 2-A + 4) = 0, that is, (x-a) ^ 2 = (a ^ 2-A + 4) > 0 (proved above)
So square both sides and move the term to X1 = a + square (a ^ 2-A + 4), X2 = A-Square (a ^ 2-A + 4)
(Note: square (a ^ 2-A + 4) represents the square root of (a ^ 2-A + 4))
1. When X20 is A-Square (a ^ 2-A + 4) > 0, the equation has two positive values, and the solution a is greater than or equal to 4
2. Due to x2
RELATED INFORMATIONS
- 1. If factorization x2 + 2ax-3a2 is divisible by X-1, then the value of a is (a) 1 or - 1 / 3 (b) - 1 or - 1 / 3 (c) 0 (d) 1 or - 1
- 2. A = (- 1,1) B = (the square of x|x-2ax + B = 0) if a contains B, then the value of a and B? Let's ask the value of AB when B is an empty set A = (- 1,1) B = (the square of X | X - 2aX + B = 0) if a contains B, then the value of a and B? Let's ask the value of AB when B is an empty set
- 3. Let set a = {- 1,1} set B = {x ^ 2-2ax + B = 0} if B ≠ empty set B is contained in a, find the value of a and B
- 4. Y = the domain of cosx-1 / 2?
- 5. What is the domain of negative cosx under y = root?
- 6. Given that the sum of squares of the two real roots of the equation x2 + (2k + 1) x + k2-2 = 0 is equal to 11, that is, X12 + X22 = 11, then the value of K is () A. - 3 or 1b. - 3C. 1D. 3
- 7. If the remainder of angle 1 is alpha, the complement of angle 1 is beta, and the sum of alpha and beta is 170 degrees, the degree of angle 1 is obtained
- 8. If the complement angle of alpha is 125 degrees and the remainder angle of beta is 37 degrees, the relationship between alpha and beta is ()
- 9. Let alpha and beta be the two real roots of the equation x2-ax + B = 0. Let a > 2 and b > 1 be two What is the condition that "alpha, beta" are greater than 1? How can we find the range of B if we add the condition that a2-4b > 0 and a is greater than 2?
- 10. If the plane alpha is perpendicular to the plane beta, then all lines in the plane alpha are perpendicular to the plane beta?
- 11. Let a = {x | x2-5x + 4 ＞ 0} and B = {x | x2-2ax + A + 2 = 0}. If a ∩ B ≠ 0, the value range of a is obtained
- 12. Given that the function f (x) = x2-2ax + 5 is an increasing function in the interval [1, + ∞), then the value range of F (- 1) is
- 13. Finding the definite integral of (1 + T square) from x square to x cube under D / DX times ∫ DT / root sign
- 14. Let f (x) be a differentiable function, definite integral (x, 0) (t-1) f (x-t) DT = 0, find f (x)
- 15. To find the symmetry center of G (x) = 2 + X + sin (x + 1) requires specific steps and processes. Thank you!
- 16. D / dt ∫ sin (T ^ 2) DT (0 to 1),
- 17. ∫ (3 sin T + 1 / 2 sin ^ 2 T) DT
- 18. Calculation: definite integral ∫ (in the upper 1, in the lower √ 2 / 2) (√ 1-x ^ 2) / x ^ 2 DX to find the detailed process answer, please God
- 19. Find: definite integral ∫ (0 above, T below) (e ^ - x ^ 2) (t above, T below) DX
- 20. Find: definite integral ∫ ((0, t) e ^ - x ^ 2 DX) (T