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twodice
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what is it?
twodice said:what I am trying to prove is that given the d=gdf(a,b) and ax+by=d prove that x and y are coprime or i guess (x,y)=1
i don't know whether or not to use modular arithmetic.
Bezout's Theorem is a fundamental theorem in algebraic geometry that states that the number of common points on two algebraic curves is equal to the product of their degrees, if the curves do not have any common components.
Bezout's Theorem is named after the French mathematician Étienne Bézout, who first stated the theorem in 1779.
Bezout's Theorem is significant because it allows us to determine the number of solutions to a system of polynomial equations. It is also used in algebraic geometry to study the intersection of curves and surfaces.
Yes, Bezout's Theorem can be extended to higher dimensions and can be used to study the intersection of higher-dimensional algebraic varieties.
No, Bezout's Theorem is only applicable to algebraic curves, which are curves defined by polynomial equations. It cannot be applied to other types of curves, such as transcendental curves.