How to solve equation system with 3 parameters

nastupnat0hh

nastupnat0hh

Answered question

2022-03-31

How to solve equation system with 3 parameters
y=2x21
z=2y21
x=2z21

Answer & Explanation

Alejandra Hanna

Alejandra Hanna

Beginner2022-04-01Added 10 answers

Step 1
Let x=cosA
y=cos2A,z=cos4A,x=cos8A
cos8A=cosA
8A=360n±A
Either
(8+1)A=360nA=40n;0n<18040
Kamora Campbell

Kamora Campbell

Beginner2022-04-02Added 13 answers

Step 1
1) y=2x21
2) z=2y21
3) x=2z21
Substitute (2) into (3) to get
4) x=2(2y21)21
You now have two simultaneous equations, i.e., (1) and (4), that you can solve to find the values of the variables x and y. Once you have either of the two, finding the value of variable z is trivial with either (2) or (3).

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