It is known that the equation 9x-3 = KX + 14 about X has integer solution. Find the value of all integers K satisfying the condition

It is known that the equation 9x-3 = KX + 14 about X has integer solution. Find the value of all integers K satisfying the condition


9x-3 = KX + 14, (9-k) x = 17, ∵ x, K are all integers, ∵ (9-k), X are all integers, ∵ 9-k = - 17, - 1, 1 or 17, ∵ k = 26, 10, 8, - 8



Calculation: (1) (- 7x & # 179; y-3b & # 178;) (7x & # 179; y-3b & # 178;); (2) (3x + Y-2) (3x-y + 2)


:(1)(-7x³y-3b²)(7x³y-3b²)
=-(7x³y+3b²)(7x³y-3b²)
=-(power 6 of 49x - power 4 of 9b)
=-The sixth power of 49x + the fourth power of 9b
(2)(3x+y-2)(3x-y+2).
=[3x+(y-2)][3x-(y-2)]
=9x²-(y-2)²
=9x²-y²+4y-4



The equation 3x + 1 = 10 has the same solution as mx-6.2 = 1, and the value of M is obtained


3x+1=10
3x=9
x=3
mx-6.2=1
mx=7.2
Then 3M = 7.2
m=2.4