4.5-4.8 Flashcards
how to add complex numbers
just act like theres no parenthesis and combine like terms
how to subtract complex numbers
distribute the - sign, drop the parenthesis, and combine like terms
how to multiply complex numbers
FOIL, drop parenthesis, simplify any i^2, combine like terms
how to divide complex numbers
foil the terms on the top, foil the term on the bottom, simplify i^2, combine like terms
graphing complex numbers
x axis- real #’s
y- imaginary #’s
rationalizing the denominator
square root b» square root b
a+square root b» a-square root b
a-square root b» a+ square root b
what is the formula for a dropped object
h=-16t^2 +h0
height it will go to=-16t^2+ height it is dropped from
how can you solve the dropped object equation
algebraically or plug it into the calc and find the positive zero
rules when taking the square root
no radicals in the denominator
use plus or minus
no negative square roots (use i)
how to find the absolute value of a complex number
square root of a^2+b^2
where a is the real number and b is the number next to the i
how to graph complex numbers
x-real; y- fake
go to the real number on the x axis and the imaginary number on the y axis
(original equation)
type/number of solutions of a discriminant
b^2-4ac>0 2 real solutions
b^2-4ac<0 2 nonreal solutions
b^2-4ac=0 1 real solution
quadratic formula
-b+|-squareroot b^2-4ac
2a
discriminant
b^2-4ac
how to write quadratic in vertex form without an a
divide b by 2
add that to both sides
factor left
subtract left
