The equation \[2000x^6+100x^5+10x^3+x-2=0\]has two real roots. Compute the square of the difference between them.
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<|im_start|>user
The equation \[2000x^6+100x^5+10x^3+x-2=0\]has two real roots. Compute the square of the difference between them.
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<|im_start|>assistant

user
\frac{161}{400}
The equation \[2000x^6+100x^5+10x^3+x-2=0\]has two real roots. Compute the square of the difference between them.
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