1.

Let S be the set of all integer solutions (x,y,z) of the system of equationsx−2y+5z=0−2x+4y+z=0−7x+14y+9z=0,such that 15≤x2+y2+z2≤150. Then, the number of elements in the set S is equal to

Answer» Let S be the set of all integer solutions (x,y,z) of the system of equations

x2y+5z=0

2x+4y+z=0

7x+14y+9z=0,

such that 15x2+y2+z2150. Then, the number of elements in the set S is equal to


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