it has a root in the form z=ia where a is a real number
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Substitute z=ia in the quartic:


So, since a²-3 is a common factor both real and imaginary parts become zero, so a²=3 is a solution. Therefore a=±√3 and two solutions are z=±i√3.

ago by Top Rated User (614k points)

Related questions

1 answer
asked Feb 8, 2012 in Algebra 1 Answers by anonymous | 391 views
0 answers
asked Apr 26, 2013 in Algebra 1 Answers by anonymous | 71 views
2 answers
asked Dec 13, 2011 in Algebra 2 Answers by anonymous | 485 views
1 answer
Welcome to, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,238 questions
86,751 answers
3,650 users