TXM782: Equation of the form
2
k
x
1

k
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
1
.
Note​
​TXM is the author’s initials, 782 is the author’s formula code
2
.
Caption​
Letthreearbitrarynumbersx,y,z.Thenwehave:​​2
k
x
1

k
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
​​Where​​
x
1
=3
2
x
+
2
y
;
x
2
=1-z;
x
3
=1+z;
x
4
=3
2
x
+
2
y
+4xyz;
x
5
=3
2
x
+
2
y
-4xyz​​
x
6
=3
2
x
+
2
y
+z3
2
x
+2xy-
2
y
;
x
7
=3
2
x
+
2
y
-z3
2
x
+2xy-
2
y
​​
x
8
=3
2
x
+
2
y
+z3
2
x
-2xy-
2
y
;
x
9
=3
2
x
+
2
y
-z3
2
x
-2xy-
2
y
​​k=1,2,3,4,5
3
.
Code
In[]:=
TabView"TXM782"->ManipulateGrid
"x"
"1"
,
"x"
"2"
,
"x"
"3"
,
"x"
"4"
,
"x"
"5"
,
"x"
"6"
,
"x"
"7"
,
"x"
"8"
,
"x"
"9"
,2
k
"x"
"1"

k
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"
,3
2
x
+
2
y
,1-z,1+z,3
2
x
+
2
y
+4xyz,3
2
x
+
2
y
-4xyz,3
2
x
+
2
y
+(3
2
x
+2xy-
2
y
)z,3
2
x
+
2
y
-(3
2
x
+2xy-
2
y
)z,3
2
x
+
2
y
+(3
2
x
-2xy-
2
y
)z,3
2
x
+
2
y
-(3
2
x
-2xy-
2
y
)z,2
k
(3
2
x
+
2
y
)

k
1
+
k
(1-z)
+
k
(1+z)
,
k
(3
2
x
+
2
y
+4xyz)
+
k
(3
2
x
+
2
y
-4xyz)
+
k
(3
2
x
+
2
y
+(3
2
x
+2xy-
2
y
)z)
+
k
(3
2
x
+
2
y
-(3
2
x
+2xy-
2
y
)z)
+
k
(3
2
x
+
2
y
+(3
2
x
-2xy-
2
y
)z)
+
k
(3
2
x
+
2
y
-(3
2
x
-2xy-
2
y
)z)
,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[.0,.2,4],{1,11}->Hue[.0,.2,4]}},BaseStyle->{FontFamily->Times,FontSize->20},Column[{Row[{Control@{{k,3,Style["k",15]},1,5,1,Appearance->"Labeled"},Control@{{y,-1,Style["y",15]},-5,5,1/6,Appearance->"Labeled"}}],Row[{Control@{{x,1,Style["x",15]},-5,5,1/6,Appearance->"Labeled"},Control@{{z,2,Style["z",15]},-5,5,1/6,Appearance->"Labeled"}}]}],SaveDefinitions->True,LabelStyle->{Red,Bold,FontFamily->Times,FontSize->30}
Out[]=
TXM782
​
k
3
y
-1
x
1
z
2
x
1
x
2
x
3
x
4
x
5
x
6
x
7
x
8
x
9
2
3
x
1
1+
3
x
2
+
3
x
3

3
x
4
+
3
x
5
+
3
x
6
+
3
x
7
+
3
x
8
+
3
x
9
4
-1
3
-4
12
4
4
12
-4
3456
3456
4
.
Related Links
​https://www.facebook.com/groups/453397409364044/posts/668538491183267/
5
.
Author information​
Trịnh Xuân Minh