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15 Cards in this Set

  • Front
  • Back
complex numbers contain...
in the form a+bi
-imaginary numbers- when b≠0

-real numbers- when b=0
imaginary numbers...
imaginary- a≠0 and b≠0

pure imaginary- a=0 but still b≠0
real numbers consist of...
-rational numbers (can be expressed as a fraction)
-irrational numbers (can't)
rational...
-integers- increments of 1
-rational numbers that aren't- eveything else
integers
-whole- 0 and up
-negative- < 0
whole...
natual- 1 and up

zero-0
radical terms...
radicand- in the radical
index- the number sitting on the radical's nose
we use the absolute value signs when...
the index is an even number, and the power of the radicand is even
conjugates
conjugate of a + bi is a - bi

complex # and its conjugate=real number
powers of i
i= square root of -1
i 2= -1
i 3= -i
i 4= 1
quadratic formula
-b ± √b2+ 4ac
-------------
2a
discriminant is negative
2 imag conjugates

0 x int
positive square
2 real rational roots

2 rat x int
positive- not perf square
2 real irrational roots

2 irrational x int
0
2 real rational eaqual roots (aka- 1 double root)

1 x int