General Systems of Equations

Using the built$-$in Solver function in Excel, solve the following system of equations:

$x^2+y^2+2z^2=10$

$x^2-3y^2+z^2=2$

$x^2+y^2-z^2=4$

Find the solution where $x,y,$ and $z$ are all positive. Use an initial guess of $(2,2,2).$ Give the following answers to $3$ decimal places:

$x=$

$y=$

$z=$

$$

$x^2+y^2+2z^2=10$

$.$

$x^2-3y^2+z^2=2$

mos

$x^2+y^2-z^2=4$