Can you please solve the questions 31 ASAP please 31. (y +1)4 + 4(y +1)² + 4 = 0

Answered: 31. (y +1)4 + 4(y +1)² + 4 = 0

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.CR: Chapter Review

Problem 35E: Find three positive geometric means between 2 and 8

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Can you please solve the questions 31 ASAP please

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$\begin{array}{rcl} {(y + 1)}^{4} + 4 {(y + 1)}^{2} + 4 & = & 0 \\ Let t & = & {(y + 1)}^{2}, equation becomes \\ t^{2} + 4 t + 4 & = & 0 \\ t^{2} + 2 t + 2 t + 4 & = & 0 \\ t (t + 2) + 2 (t + 2) & = & 0 \\ {(t + 2)}^{2} & = & 0 \end{array}$

We have repeated roots -2 and -2

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