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Math Help - finding range

  1. #1
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    Question finding range

    Q.if x,y,z are real such that x+y+z=4 and x^2 +y^2 +z^2=6 then range of x is?
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  2. #2
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    Quote Originally Posted by sshrivastav View Post
    Q.if x,y,z are real such that x+y+z=4 and x^2 +y^2 +z^2=6 then range of x is?
    From x+ y+ z= 4, z= 4- x- y so the second equation becomes
    x^2+ y^2+ (4- x- y)^2= 6.

    Multiply that out and it becomes the equation of a circle. You can determine the range of x (and y) from that.
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