Concider the follwing cubic polynomial equestion: x3 + x2 -8/3x +28/27 =0 a. Use the Cardano substitution method to find the associate 'depressed' cubic. b. Use the Del-Ferro/Tartaglia method/formula to solve this depressed cubic.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 82E
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2. Concider the follwing cubic polynomial equestion: x3 + x2 -8/3x +28/27 =0

a. Use the Cardano substitution method to find the associate 'depressed' cubic.

b. Use the Del-Ferro/Tartaglia method/formula to solve this depressed cubic.

c. Find solutions to original equation through back substitution.

 

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