You've set a rather tall order for TI-Basic to fill. user3932000 is correct; there is no built in function to create an input form of the type you request.
However, there is nothing stopping you from creating an interactive interface yourself. Creating it from scratch will be a time consuming and, it will consume a significant amount of memory on your calculator. There is no boilerplate code you plug your variables into to get the results you want, but you might have some luck modeling it after this quadratic solver I wrote.
ClrHome
a+bi
Output(1,1," QUADRATIC
Output(2,1," AX²+BX+C
Output(3,1,"ZEROS:
Output(6,1,"A=
Output(7,1,"B=
Output(8,1,"C=
DelVar YDelVar D
" →Str1
While Y≠105
getKey→Y
If Ans
Then
Output(X,4,Str1
Output(3,7,Str1+Str1+Str1+"
End
X+(Ans=34)-(Ans=25
If Ans<6:8
If Ans>8:6
Ans→X
Output(Ans,16,"◄
D(Y≠45→D
If Y=25 or Y=34
sum({A,B,C}(X={6,7,8→D
If Y=104:⁻D→D
10not(Y)+Y(102≠Y)-13int(Y/13(2>abs(5-abs(5-abs(Y-83
If Ans≤9
D10+Ans-2Ans(D<0→D
If X=6:D→A
If X=7:D→B
If X=8:D→C
If A
Then
2ˉ¹Aˉ¹(⁻B+{1,⁻1}√(B²-4AC
Else
If B
Then
⁻C/B
Else
If C
Then
"No Zeros
Else
"All Numbers
End
End
End
Output(3,7,Ans
Output(6,3,A
Output(7,3,B
Output(8,3,C
End
ClrHome
Ans
Here's a GIF of what it does for you.
With a little more work. This code could be used on the Graph screen instead of the home screen, giving more option in terms of layout and design.