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Show that 2-i is a root of z^4 - 8z^3+28z^2-48z+35. Hence find all roots
and
Find all 5th roots of -32 and all 4th rots of 81i
In form x+iy where x and y in 4 DP
Thx
all the coefficients of the quartic are real so the complex conjugate is a root.Originally Posted by NeloAngelo
so we have two factorsand
.
sois a factor of your quartic, divide your quartic by this factor and then solve the quadratic to get the two remaining roots.
you want the solve the equationFind all 5th roots of -32 and all 4th rots of 81i. first rewrite -32 in the form of
})
tell me how it goes
Bobak
all the coefficients of the quartic are real so the complex conjugate is a root.
so we have two factors
so
you want the solve the equation
tell me how it goes
Bobak
Thx for the feedback
How did you get those answers on the 1st part? Did you use combination of de Moivre equation, quadratic formulae and long division
o how would it look if I applied -32 to
Two things you should know:
1. Ifis a root then
is a linear factor.
2. If a polynomial has real coefficients and, the conjugate of
Some of the questions you're asking suggest it would be a good thing for you to go back and thouroughly review this whole topic.
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