Find all distinct roots (real or complex) of
z2+(−6+i)z+(25+15i). Enter the roots as a comma-separated list of
values of the form a+bi. Use the square root symbol '√' where
needed to give an exact value for your answer. z = ???
Complex Analysis:
Use Rouche's Theorem and Argument Principle to determine the
number of roots of p(z)=z^4-2z^3+13z^2-2z+36 which lie in each
quadrant of the plane.
(Hint: Consider |z|=5 and |z|=1)
(a) Solve the complex equation (1+i)z^3 - 1+e^i(p=3) = 0 and
list all
possible solutions in Euler’s form with principal arguments.
(b) Express the complex number z =(1-sinq +icosq)^20 in Euler’s
form.
Find the roots of the following equation in [−π, π] 2x 2 − 4
cos(5x) − 4x sin x + 1 = 0 by using the Newton’s method with
accuracy 10^(−5) .
how do I solve this using a computer