I'm in the 8th grade and I'm really stuck on this math problem on my homework. heres the equation
a+b+c=4
a^2+b^2+c^2=10
a^3+b^3+c^3=22
I have to find out the values of a and b and c.
Please help me
a+b+c=4
a^2+b^2+c^2=10
a^3+b^3+c^3=22
I have to find out the values of a and b and c.
Please help me
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I was just trying to solve these equations conventionally when I realised that there is a symmetry in all three variables in each equation.
What I mean by this is that if we solve these equations for values of a, b and c all of the equations would still hold true if we were to swap the values around (e.g. a -> b, b -> c, c -> a or another swap).
I therefore conclude that there is no unique solution for each of a, b and c.
This answer isn't complete but may be a good starting point.
What I mean by this is that if we solve these equations for values of a, b and c all of the equations would still hold true if we were to swap the values around (e.g. a -> b, b -> c, c -> a or another swap).
I therefore conclude that there is no unique solution for each of a, b and c.
This answer isn't complete but may be a good starting point.