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If the system of equations (a+2)^(3)x+...

If the system of equations
`(a+2)^(3)x+(1+7)^(3)y+(a+15)^(3)z=0`
`(a+2)x+(a+7)y+(a+15)z=0`
`x+y+z=0`
possesses a non - trivial solution, find a.

Text Solution

Verified by Experts

The correct Answer is:
`a=-8`
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