3. Consider the cubic x³ +3x=36. a. Use Cardano's rule to find a solution. b. Clearly x=3 is a solution. Use Bombelli's methods to verify that the answer from part a. is indeed 3. Use your calculator or any other technology to find the a and the b values. They are fractions, not integers, so you probably won't guess them.

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Italian Algebra

3. Consider the cubic x³ +3x=36.
a. Use Cardano's rule to find a solution.
b. Clearly x=3 is a solution. Use Bombelli's methods to verify that the answer from
part a. is indeed 3. Use your calculator or any other technology to find the a and the b
values. They are fractions, not integers, so you probably won't guess them.
Transcribed Image Text:3. Consider the cubic x³ +3x=36. a. Use Cardano's rule to find a solution. b. Clearly x=3 is a solution. Use Bombelli's methods to verify that the answer from part a. is indeed 3. Use your calculator or any other technology to find the a and the b values. They are fractions, not integers, so you probably won't guess them.
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