The equation x^4 + x^2 + 1 = 0 has no real solutions

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 19PT: Use Descartes’ Rule of Signs to determine the possible number of positive and negative solutions....
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Prove or disprove the following statement, if true write a formal proof.

The equation x^4 + x^2 + 1 = 0 has no real solutions. 

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Why did you use discriminate and how exactly does it work for this proof?

Is there another way to prove it false aside from using discriminat, if so how? 

 

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Prove or disprove the following statement, if true write a formal proof.

The equation x^4 + x^2 + 1 = 0 has no real solutions. 

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