Let `x ,y ,z in R` such that `x+y+z=6a nd x y+y z+z x=7.` Then find the range of values of `x ,y ,a n dzdot`

If x+y+z=5 and x y+y z+z x=3 , then the greatest value of (x) is

If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^(2) + y^(2) z^(2)

Let N be the number of points (x, y, z) in space such that x+y+z=12 , where x, y, z in N . The number of divisors of N is equal to

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If y z+z x+x y=12 ,w h e r ex ,y ,z are positive values, find the greatest value of x y zdot

Find the product of (5x - y +z) (5x - y +z)

In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x, y and z.

Solve sin^2x+cos^2y=2sec^2z for x , y ,a n dzdot