maths --plse help me..

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Solve the system of equations for positive real numbers:
1/xy = x/z + 1, 1/yz = y/x + 1, 1/zx = z/y + 1.

• maths --plse help me.. -

By symmetry, we conclude at least one solution is x=y=z.
Assume p=x=y=z, then
1/p^2=p/p+1=2
Can you solve for p?

• maths --plse help me.. -

how does 2 came
1/p^2=p/p+1=2

• maths --plse help me.. -

p/p=1

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