In the system of equations,
x₁ + x₂x₃ = 1
x₂ + x₁x₃ = 1
x₃ + x₁x₂ = 1
The number of solutions, in real numbers x₁, x₂, x₃, is:
A. 0
B. 3
C. 4
D. More than 4, but finitely many
Please with answer and solution.. :))
Thank you very much, in advance!
x₁ + x₂x₃ = 1
x₂ + x₁x₃ = 1
x₃ + x₁x₂ = 1
The number of solutions, in real numbers x₁, x₂, x₃, is:
A. 0
B. 3
C. 4
D. More than 4, but finitely many
Please with answer and solution.. :))
Thank you very much, in advance!
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Answer:
I shall rewrite these equations as:
Now, you can use many methods, like bisection method, etc. It is impossible for a human to trial and error 100 times!
Therefore, putting these values in the algebra calculator, we get 5 roots which is Logical conjuncted.
Therefore, Option (D) is correct.
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