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SEAMO 2027 - Paper F - SET 02 - Self-study Question 4

SEAMO · SEAMO 2027 - Paper F - SET 02 - Self-study

Question 4

The source asks: “$x,y,z$ are real numbers such that $x+y+z=7$, $x^2+y^2+z^2=19$ and $x^3+y^3+z^3=64$. Evaluate $x^4+y^4+z^4$.” Assess this unchanged printed question and explain what can be concluded.

Source-consistency warning: the real-number assumptions are incompatible. The original data are retained; explain the issue and distinguish a formal calculation from an attainable value. This question is assessed manually.