Consider the equation (4x2 + 1)2 + 4(4x2 + 1) + 4 = 0. If the substitution u = is made, then the equation becomes u2 + 4u + 4 = 0.

Trigonometry (MindTap Course List)
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Author:Ron Larson
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Chapter4: Complex Numbers
Section4.2: Complex Solutions Of Equations
Problem 1ECP: Determine the number of solutions of the equation x3+9x=0.
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Consider the equation (4x2 + 1)2 + 4(4x2 + 1) + 4 = 0. If the substitution u = is made, then the equation becomes u2 + 4u + 4 = 0.

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