AP EAMCET20225 Jul 2022Evening ShiftMathematicsFunctionsActual

The number of solutions of the equations x+y+z=1 ; x^2+y^2+z^2=1 ; x^3+y^3+z^3=1 is

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Correct answer

B. 3

Step-by-step solution

x+y+z=1 aligned & x^2+y^2+z^2=1 & x^3+y^3+z^3=1 aligned It is evident from all 3 that equation satisfies only if 2 of them are zero and third is 1. There are 3 solution sets of (x, y, z)(0,0,1),(0,1,0) and (1,0,0)

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