SOLUTION: If {{{ f(z)= z^2 -3z+3 }}} is a complex function of the complex variable z, evaluate each quantity: a) f(i) b) f(-1) c) f(-1+i) d) f(2+i)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: If {{{ f(z)= z^2 -3z+3 }}} is a complex function of the complex variable z, evaluate each quantity: a) f(i) b) f(-1) c) f(-1+i) d) f(2+i)      Log On


   

Question 1193126: If +f%28z%29=+z%5E2+-3z%2B3+ is a complex function of the complex variable z, evaluate each quantity:
a) f(i)
b) f(-1)
c) f(-1+i)
d) f(2+i)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is a complex function (b^2-4ac=-3)
f(i)=I^2-3i+3=2-3i
f(-1)=7
f(-1+i)=1-2i+I^2+3-3i+3=6-5i
f(2+i)=4+4i+I^2-6-3i+3=i