TXM778: (2,4).3.7 EQUATION
1
.
Note​
​TXM is the author’s initials, 778 is the author’s formula code
k.m.n equation is an equation of the form
k
x
1
+
k
x
2
+...+
k
x
n
=
k
y
1
+
k
y
2
+...+
k
y
m
. In case k can take on more than one value, they are shown inside the sign ().
2
.
Caption​
Lettwoarbitrarynumbersx,y.Thenwehave:​​
k
x
1
+
k
x
2
+
k
x
3
=
k
x
4
+
k
x
5
+
k
x
6
+
k
x
7
+
k
x
8
+
k
x
9
+
k
x
10
​​Where​​
x
1
=3
2
x
+
2
y
9
4
x
+12
3
x
y+14
2
x
2
y
-4x
3
y
+
4
y
;
x
2
=3
2
x
-6xy-
2
y

2
3
2
x
+
2
y

;
x
3
=23
2
x
-
2
y

2
3
2
x
+
2
y

;
x
4
=16
2
x
2
y
3
2
x
+2xy-
2
y
;
x
5
=4xy
2
3
2
x
+2xy-
2
y

​​
x
6
=3
2
x
+
2
y
-4
2
x
2
y
+
2
3
2
x
-
2
y

;
x
7
=4xy-4
2
x
2
y
+
2
3
2
x
-
2
y

​​
x
8
=4xy3
2
x
-2xy-
2
y
3
2
x
+
2
y
;
x
9
=3
2
x
-2xy-
2
y

2
3
2
x
+
2
y

;
x
10
=2
3
3
2
x
+
2
y

​​k=2,4
3
.
Code
In[]:=
TabView"TXM778"->ManipulateGrid
"x"
"1"
,
"x"
"2"
,
"x"
"3"
,
"x"
"4"
,
"x"
"5"
,
"x"
"6"
,
"x"
"7"
,
"x"
"8"
,
"x"
"9"
,
"x"
"10"
,
k
"x"
"1"
+
k
"x"
"2"
+
k
"x"
"3"
,
k
"x"
"4"
+
k
"x"
"5"
+
k
"x"
"6"
+
k
"x"
"7"
+
k
"x"
"8"
+
k
"x"
"9"
+
k
"x"
"10"
,(3
2
x
+
2
y
)(9
4
x
+12
3
x
y+14
2
x
2
y
-4x
3
y
+
4
y
),(3
2
x
-6xy-
2
y
)
2
(3
2
x
+
2
y
)
,2(3
2
x
-
2
y
)
2
(3
2
x
+
2
y
)
,16
2
x
2
y
(3
2
x
+2xy-
2
y
),4xy
2
(3
2
x
+2xy-
2
y
)
,(3
2
x
+
2
y
)(-4
2
x
2
y
+
2
(3
2
x
-
2
y
)
),4xy(-4
2
x
2
y
+
2
(3
2
x
-
2
y
)
),4xy(3
2
x
-2xy-
2
y
)(3
2
x
+
2
y
),(3
2
x
-2xy-
2
y
)
2
(3
2
x
+
2
y
)
,2
3
(3
2
x
+
2
y
)
,
k
((3
2
x
+
2
y
)(9
4
x
+12
3
x
y+14
2
x
2
y
-4x
3
y
+
4
y
))
+
k
((3
2
x
-6xy-
2
y
)
2
(3
2
x
+
2
y
)
)
+
k
(2(3
2
x
-
2
y
)
2
(3
2
x
+
2
y
)
)
,
k
(16
2
x
2
y
(3
2
x
+2xy-
2
y
))
+
k
(4xy
2
(3
2
x
+2xy-
2
y
)
)
+
k
((3
2
x
+
2
y
)(-4
2
x
2
y
+
2
(3
2
x
-
2
y
)
))
+
k
(4xy(-4
2
x
2
y
+
2
(3
2
x
-
2
y
)
))
+
k
(4xy(3
2
x
-2xy-
2
y
)(3
2
x
+
2
y
))
+
k
((3
2
x
-2xy-
2
y
)
2
(3
2
x
+
2
y
)
)
+
k
(2
3
(3
2
x
+
2
y
)
)
,Frame->All,FrameStyle->Hue[.6,.4,.8],Background->{None,{{None,GrayLevel[.9]}},{{1,1}->Hue[.6,.2,1],{1,2}->Hue[.6,.2,1],{1,3}->Hue[.6,.2,1],{1,4}->Hue[.6,.2,1],{1,5}->Hue[.6,.2,1],{1,6}->Hue[.6,.2,1],{1,7}->Hue[.6,.2,1],{1,8}->Hue[.6,.2,1],{1,9}->Hue[.6,.2,1],{1,10}->Hue[.6,.2,1],{1,11}->Hue[.0,.2,4],{1,12}->Hue[.0,.2,4]}},BaseStyle->{FontFamily->Times,FontSize->20},Column[{Row[{Control@{{k,2,Style["k",15]},2,4,2,Appearance->"Labeled"},Control@{{y,2,Style["y",15]},-5,5,1/6,Appearance->"Labeled"}}],Row[{Control@{{x,1,Style["x",15]},-5,5,1/6,Appearance->"Labeled"}}]}],SaveDefinitions->True,LabelStyle->{Red,Bold,FontFamily->Times,FontSize->30}
Out[]=
TXM778
​
k
2
y
2
x
1
x
1
x
2
x
3
x
4
x
5
x
6
x
7
x
8
x
9
x
10
2
x
1
+
2
x
2
+
2
x
3
2
x
10
+
2
x
4
+
2
x
5
+
2
x
6
+
2
x
7
+
2
x
8
+
2
x
9
511
-637
-98
192
72
-105
-120
-280
-245
686
676494
676494
4
.
Related Links
​https://www.facebook.com/groups/453397409364044/posts/665512694819180
5
.
Author information​
Trịnh Xuân Minh