Recall from the introduction to Section 8.2 that Jerome
Chapter , Problem 49(choose chapter or problem)
Recall from the introduction to Section 8.2 that Jerome Cardans solutions to the equation x3 15x 4 could be written as x 3 2 11i 3 2 11i Lets assume that the two cube roots are complex conjugates. If they are, then we can simplify our work by noticing that x 3 211i 3 211ia bi a bi 2a which means that we simply double the real part of each cube root of 2 11i to find the solutions to x3 15x 4. Now, to end our work with Cardan, find the 3 cube roots of 2 11i. Then, noting the discussion above, use the 3 cube roots to solve the equation x3 15x 4. Write your answers accurate to the nearest thousandth. LEARNING OBJECTIVES ASSESSM
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