If the equation X-8 / x-7-k / 7-x about X has an increasing root, then what is k

If the equation X-8 / x-7-k / 7-x about X has an increasing root, then what is k

(x-8)/(x-7)-k/(7-x)=8
The equation is multiplied by the denominator X-7 to get X-8 + k = 8x-56
Because the equation has an increasing root, x = 7
Substituting x = 7 into X-8 + k = 8x-56, the solution is k = 1
The key to this problem is to find out what is zenggen
In fact, there is another solution to this problem,
The equation is reduced to (X-8 + k) / (X-7) = 8
Suppose that if X-8 + k = X-7, then the equation has no solution
So k = 1

If the equation X-8 / x-7-1 / 7-x = a has an increasing root, then the increasing root is, and the value of a is
Be sure to write the value of a in the process of solving the problem
(X-8) / (X-7) - 1 / (7-x) = a, find the value of A

Increasing root is the solution that does not meet the requirements, here 0 is increasing root, because x can not be 0 multiplied by X on both sides, and then factorization has a root that is 0. You got the wrong number there. I don't know the problem, but now you can do it yourself. When you come here, increasing root is 7 (the solution that does not meet the requirements, here x can take all real numbers except 7) (X-8) /

On the equation of X, X-7 of X-8 - K of 8-x = 8, with increasing roots, then the value of K?
Why is the value of K - 1? How to find it?

（x-7）/（x-8） - k /（8-x）= 8
Go to the denominator
x-7+k=8（x-8）
The equation of X has an increasing root, so x = 8
8-7+k=8（8-8）
k=-1

If increasing roots appear when solving the equation x − 8x − 7 − 17 − x = 8, then increasing roots must be X=______ ．

The simplest common denominator of the equation is X-7 = 0, that is, the increasing root is x = 7, so the answer is 7