Answered: 8. Verify the following assertions. If…

8. Verify the following assertions. If all the coefficients of an equation are positive (a) and the equation involves no odd powers of x, then all its roots are imaginary.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter55: Introduction To Circles

Section: Chapter Questions

Problem 24A: Solve the following exercises based on Principles 11-14, although an exercise may require the...

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Question

#8a using Descartes's rule of sign

8. Verify the following assertions.
If all the coefficients of an equation are positive
(a)
and the equation involves no odd powers of x,
then all its roots are imaginary.

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