# Math Help - finding range

1. ## 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?

2. Originally Posted by sshrivastav
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.