Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, include the necessary steps and calcu
Mathematics
Mrhistory404
Question
Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, include the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.
(x^2+1)(x^3+2x)(x^264)=0
(x^2+1)(x^3+2x)(x^264)=0
1 Answer

1. User Answers HomertheGenius
x² + 1 = 0
x² =  1
x 1 = i, x 2 =  i
x³ + 2 x = 0
x ( x² + 2 ) = 0
x 3 = 0
x² + 2 = 0
x² =  2
x 4 = √2 i, x 5 =  √2 i
x²  64 = 0
x² = 64
x 6 =  8, x 7 = 8
Answer:
All roots are: { √2 i, i, i, √2 i,  8, 0, 8 }