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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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The equation that represents the function is y = -x - 1

<h3>How to determine the equation of the function?</h3>

The complete question is added as an attachment

From the table of values, we have the following points

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Calculate the slope (m) using

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

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The equation is then calculated as:

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3 years ago
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Step-by-step explanation:

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Answer:

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