Multiple Choice Questions on 16 x y and z are real numbers If x3 y3 z3 13 x y z 1 and xyz 1 then what is the value of xy yz zx ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

16 x y and z are real numbers If x3 y3 z3 13 x y z 1 and xyz 1 then what is the value of xy yz zx ........

Quantitative Aptitude (CGL) Algebra
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    16 - x, y and z are real numbers. If x3 + y3 + z3 = 13,x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

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    Explanation:

    X^3+Y^3+Z^3-3XYZ=(X+Y+Z)((X+Y+Z)^2-3(XY+YZ+ZX)
    X^3+Y^3+Z^3=13
    X+Y+Z=1
    XYZ=1
    13-3=1-3(X+Y+Z)=>10=1-3(X+Y+Z)
    3(XY+YZ+ZX)=-9
    XY+YZ+ZX=3

    By: MIRZA SADDAM HUSSAIN
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