4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of variables to one without a squared term.
4. Consider the Cubic Equation: x³ +3x² = 8x +30 a. Reduce the cubic equation through a change of variables to one without a squared term.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.3: Completing The Square
Problem 62PS
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Question
![4. Consider the Cubic Equation: x² + 3x² = 8x+30
a. Reduce the cubic equation through a change of variables to one without a squared
term.
b. Solve the reduced cubic using the cubic formula.
C.
Find all three solutions to the original equation x³ + 3x² = 8x+30.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52a2db47-a973-4bc9-adc0-b0a76fbdfe0d%2F7ff65c62-d83b-4b73-8c1f-9bc2c0a797a6%2Fxl8yr1w_processed.png&w=3840&q=75)
Transcribed Image Text:4. Consider the Cubic Equation: x² + 3x² = 8x+30
a. Reduce the cubic equation through a change of variables to one without a squared
term.
b. Solve the reduced cubic using the cubic formula.
C.
Find all three solutions to the original equation x³ + 3x² = 8x+30.
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