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Zanzabum
3 years ago
13

Solve the following equation by identifying all of its roots including all real and complex numbers. In your final answer, inclu

de the necessary steps and calculations. Hint: Use your knowledge of factoring polynomials.
(x^2+1)(x^3+2x)(x^2-64)=0
Mathematics
1 answer:
atroni [7]3 years ago
3 0
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 }
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