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Give an example of a reduced cubic in the form x = 3px + 2q with three real roots but where q – p³ < 0 in q² – p° 3 X = q + q² – p³ + so that Cardano's formula contains complex numbers. ?*x+?

Give an example of a reduced cubic in the form x = 3px + 2q with three real roots but where q – p³ < 0 in q² – p° 3 X = q + q² – p³ + so that Cardano's formula contains complex numbers. ?*x+?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 40E
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3 Give an example of a reduced cubic in the form x = 3px + 2q with three real roots but where q? – p’ < 0 in Va+ Va - p + X = so that Cardano's formula contains complex numbers. x3 = ?*x+?
Transcribed Image Text:3 Give an example of a reduced cubic in the form x = 3px + 2q with three real roots but where q? – p’ < 0 in Va+ Va - p + X = so that Cardano's formula contains complex numbers. x3 = ?*x+?
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