(x △ 5-1) - y = 6 x.y. how much is it? Can this be solved? | Math enthusiast | Mathematical art

(x △ 5-1) - y = 6 x.y. how much is it? Can this be solved?

Binary equation, an equation has no definite solution
X = - [5 (1 + y)] / 29, the value of X can be obtained by arbitrarily bringing in the value of Y

(X-6): how much is y = 3:5?

(x-6):y=3:5
3y=5（x-6）
3y=5x-30

In the expansion of ((√ x) + 1) ^ 4 * (x-1) ^ 5, the coefficient of x ^ 4 is equal to?

The integer coefficient of X in ((√ x) + 1) ^ 4 is only 0 1 2
So let's take the fourth, third and second power of X in (x-1) ^ 5
So the coefficient of x ^ 4 is 4C5 + 2C4 * 2C5 + 4C4 * 3C5 * (- 1) ^ 3 = 5 + 60-10 = 55

RELATED INFORMATIONS

1. In the (X-2) ^ 10 expansion, the sum of coefficients of all terms is equal to
2. Baidu has the resolution of this problem, I can't understand it Let α ∈ (0, half π), the equation x & # 178; sin α + Y & # 178; Cos α = 1 denote the ellipse with focus on the y-axis, then the value range of α is the most detailed solution to this problem
3. 1. Given that cos (π / 3 + α) = - 3 / 5, sin (2 π / 3 - β) = 3 / 15, and 0 ＜α＜π / 2 ＜β＜π, the value of COS (β - α) can be obtained 2. Given sin α + sin β + sin γ = 0, cos α + cos β + cos γ = 0, the value of COS (β - γ) can be obtained There is no connection between the above two questions. You can answer one of them!
4. Let f (x) = a ^ x + B (a > 0) (a is not equal to 1) g (x) = 2x ^ 2-5x-k. if f (x) > m is r-constant for X, then f (x) > m is r-constant The range of M is 1) Find the value of A.B (2) When the two zeros of G (x) are respectively within (0,1) and (1,2), the value range of the real number k is obtained (3) Let H (x) = f (x) x > 0, H = g (x) = g (x) X
5. Given that 0 is less than X and less than or equal to 1 / 4, find the maximum value of the function f (x) = (x2-2x + 2) / x?
6. Let the sum of odd and even terms be 44 and 33, respectively
7. In the expansion of (1 + 1x) 6, the coefficient of 1x2 is () A. 1B. 6C. 10D. 15
8. Given the expansion of (x ^ 2 + ax-b) (2x ^ 2-3x + 1), the coefficient of term x ^ 3 is 5, and the coefficient of term x ^ 2 is - 6. Find the value of a and B
9. On the coefficients of the fourth term in (x-1) nth power expansion Calculate with the following formula Tr+1=C（n,r）a^（n-r）b^r If the coefficients of the second and fifth terms in the (x-1) nth power expansion are known to be equal, then the coefficients of the fourth term are equal
10. I don't know much about binomial theorem ~ find several commonly used binomial formulas, such as maximum coefficient and maximum constant term~
11. Given that x = 5 is the solution of the equation AX-8 = 20 + A, then a=______ ．
12. Given that x = 5 is the solution of the equation AX-8 = 20 + a about X, find a The sum of two numbers B is 100 and the difference is 50
13. We know that 7 ^ a = 5,49 ^ A + B = 81,7 ^ C = 35,7 ^ D = 63, and prove that B + C = D
14. In the binomial expansion of (x ^ 2 + 1 / ax) ^ 6, the coefficient of x ^ 2 is 5 / 2, then a = need to answer the process in detail
15. A * b = 3 / A + 4 / B, given 4 * b = 4, then what is B equal to
16. Find the coefficient of x ^ 2 term in (x ^ 2 + X-2) ^ 6 expansion
17. Given the equation x ^ 2 + 3x-2 = 0, then the coefficient of quadratic term is 1, and the two equations which are two times of the known equation are?
18. In the expansion of (x + 1) 3 + (x + 1) 4 + (x + 1) 5 + (x + 1) 6 + (x + 1) 7, the coefficient of X4 is? (the following numbers are all to the power.)
19. Find the coefficient of 1 / x ^ 6 in (1 + 2 / x ^ 2) ^ 5 expansion
20. The minimum value of function f (x) = 6 / 2 ^ x + 3 ^ x on [- 1,2]? A, 36 / 5 B 6 C 3 D 6 / 13 Tell me why