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Math: Calculus

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The equation: 10(x-1)(x-2)(x-3)=1,
has three real solutions a<b<c

where
a=____, b=___ , and c=___.

Enter your answers with at least six correct digits beyond the decimal point.
Hint: Ask what the solutions are if the right hand side is 0 instead of 1, and use Newton's Method.

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