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tmua.fyi Paper 1 Challenge 2 · Q8

Paper 1Algebra

The real numbers x,yx,y and zz satisfy x3+y3+z3−3xyz=1x^3+y^3+z^3-3xyz=1. What is the smallest possible value of x2+y2+z2x^2+y^2+z^2?

A13\frac13
B12\frac12
C23\frac23
D11
E32\frac32
F22
G33
Hthere is no smallest value

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