If the system of equations $2 x+y-z=5$ $2 x-5 y+\lambda z=\mu$ $x+2 y-5 z=7$ has infinitely many solutions, then $(\lambda+\mu)^{2}+(\lambda-\mu)^{2}$ is equal to

Question

If the system of equations

$2 x+y-z=5$

$2 x-5 y+\lambda z=\mu$

$x+2 y-5 z=7$

has infinitely many solutions, then $(\lambda+\mu)^{2}+(\lambda-\mu)^{2}$ is equal to

916

912

920

904

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