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Mathematics

Algebra

Easy

Question

If $alpha comma beta comma gamma$ are the roots of $x cubed minus x squared minus 1 equals 0$ then the value $left parenthesis 1 plus alpha right parenthesis divided by left parenthesis 1 minus alpha right parenthesis plus left parenthesis 1 plus beta right parenthesis divided by left parenthesis 1 minus beta right parenthesis plus left parenthesis 1 plus gamma right parenthesis divided by left parenthesis 1 minus gamma right parenthesis$ is equal to

-5
-6
-7
-2

The correct answer is: -5

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