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.
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter10: Quadratic Equations
Section10.2: Solve Quadratic Equations By Completing The Square
Problem 10.53TI: Solve 4x2+3x=12 by completing the square.
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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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