Use Bombelli’s approach to find a complex number c = a + bi such that c3= 18 + 26i where a and b are positive integers (both are fairly small). Note that if p and q are integers such that pq = 18 or 26 then there are only a few possible choices for these integers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 35E
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Use Bombelli’s approach to find a complex number c = a + bi such that
c3= 18 + 26i where a and b are positive integers (both are fairly small).
Note that if p and q are integers such that pq = 18 or 26 then there are
only a few possible choices for these integers.

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