Nonlinear System (Part 2)

Algebra Level 4

{abc=2a2b3c4=5a1b7c2=9\large \begin {cases} abc = 2 \\ a^{2}b^{3}c^{4} = 5 \\ a^{-1}b^{7}c^{-2} = 9 \end {cases}

If a,b,a, b, and cc are real numbers, determine (a+b+c) (a + b + c) , to two decimal places.

Hint: Can you find a clever way of representing this as a linear system?

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