Deducing the value of one parameter











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I'm working with Javascript and I need some help because I'm not great at math. I have the following code:



let x = (1 - t) * (1 - t) * (1 - t) * x0 
+ 3 * (1 - t) * (1 - t) * t * x1
+ 3 * (1 - t) * t * t * x2
+ t * t * t * x3;


I know the values of x, x0, x1, x2 and x3. Is it possible to deduce the value of t?










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  • Do you know Cardano's method to solve third degree equation.
    – hamam_Abdallah
    Nov 17 at 19:44










  • No, I'm sorry, I don't
    – enxaneta
    Nov 17 at 19:49






  • 1




    Google it and you will get an idea.
    – hamam_Abdallah
    Nov 17 at 19:50






  • 1




    First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
    – Aditya Dua
    Nov 18 at 3:49















up vote
0
down vote

favorite












I'm working with Javascript and I need some help because I'm not great at math. I have the following code:



let x = (1 - t) * (1 - t) * (1 - t) * x0 
+ 3 * (1 - t) * (1 - t) * t * x1
+ 3 * (1 - t) * t * t * x2
+ t * t * t * x3;


I know the values of x, x0, x1, x2 and x3. Is it possible to deduce the value of t?










share|cite|improve this question






















  • Do you know Cardano's method to solve third degree equation.
    – hamam_Abdallah
    Nov 17 at 19:44










  • No, I'm sorry, I don't
    – enxaneta
    Nov 17 at 19:49






  • 1




    Google it and you will get an idea.
    – hamam_Abdallah
    Nov 17 at 19:50






  • 1




    First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
    – Aditya Dua
    Nov 18 at 3:49













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I'm working with Javascript and I need some help because I'm not great at math. I have the following code:



let x = (1 - t) * (1 - t) * (1 - t) * x0 
+ 3 * (1 - t) * (1 - t) * t * x1
+ 3 * (1 - t) * t * t * x2
+ t * t * t * x3;


I know the values of x, x0, x1, x2 and x3. Is it possible to deduce the value of t?










share|cite|improve this question













I'm working with Javascript and I need some help because I'm not great at math. I have the following code:



let x = (1 - t) * (1 - t) * (1 - t) * x0 
+ 3 * (1 - t) * (1 - t) * t * x1
+ 3 * (1 - t) * t * t * x2
+ t * t * t * x3;


I know the values of x, x0, x1, x2 and x3. Is it possible to deduce the value of t?







algebras






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 17 at 19:37









enxaneta

1011




1011












  • Do you know Cardano's method to solve third degree equation.
    – hamam_Abdallah
    Nov 17 at 19:44










  • No, I'm sorry, I don't
    – enxaneta
    Nov 17 at 19:49






  • 1




    Google it and you will get an idea.
    – hamam_Abdallah
    Nov 17 at 19:50






  • 1




    First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
    – Aditya Dua
    Nov 18 at 3:49


















  • Do you know Cardano's method to solve third degree equation.
    – hamam_Abdallah
    Nov 17 at 19:44










  • No, I'm sorry, I don't
    – enxaneta
    Nov 17 at 19:49






  • 1




    Google it and you will get an idea.
    – hamam_Abdallah
    Nov 17 at 19:50






  • 1




    First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
    – Aditya Dua
    Nov 18 at 3:49
















Do you know Cardano's method to solve third degree equation.
– hamam_Abdallah
Nov 17 at 19:44




Do you know Cardano's method to solve third degree equation.
– hamam_Abdallah
Nov 17 at 19:44












No, I'm sorry, I don't
– enxaneta
Nov 17 at 19:49




No, I'm sorry, I don't
– enxaneta
Nov 17 at 19:49




1




1




Google it and you will get an idea.
– hamam_Abdallah
Nov 17 at 19:50




Google it and you will get an idea.
– hamam_Abdallah
Nov 17 at 19:50




1




1




First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
– Aditya Dua
Nov 18 at 3:49




First you should expand out the expression so it has the following form: $at^3 + bt^2 + ct + (d-x) = 0$, where $a,b,c,d$ will be functions of $x_0,x_1,x_2,x_3$. Then you can use Cardano's method. You can implement it yourself, but you may even be able to find template code online or a built in library in JS.
– Aditya Dua
Nov 18 at 3:49















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