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^2-64) = 0

Question

Bonnie

Mathematics

13 December, 06:48

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^2-64) = 0

+2

Answers (1)

Know the Answer?

Brenton Mitchell · Answer 1

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 }

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^2-64) = 0

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^2-64) = 0