Quadratics 2b

complex #

100

Imaginary unit 

i

200

i = 

sqrt(-1)

300

The sum of a real number and an imaginary number

complex number

400

give an example of a complex number

a+bi

500

give an example of a complex conjugate

(a+bi)  (a-bi)

Operations

100

x^2 = -3

+/- sqrt 3

200

(2+3i)+(1-9i)

3-6i

300

(2+3i)-(1-9i)

1+12i

400

(2+3i)*(1-9i)

29-15i

500

(4-4i)/(1+3i)

-.8-1.6i  or -4/5 - 8/5i

quadratics

100

x^2 -10x +25=0

x=5

200

x^2 +4x-5=0

x=1 or x=-5

300

x^2 +2x +2=0

x= -1 +/- i

400

x^2+8x-6=0

-4 +/- sqrt 22

500

x^2+2x+7=0

-1 +/- i Sqrt 6

quadratics

100

state the quadratic formula

(-b +/- sqrt b^2-4ac)/2a

200

give the discriminant

b^2 - 4ac

300

the number of solutions if the 

discriminant =0

discriminant >0

discriminant >0

1

2 real

2 complex (nonreal)

400

Rewrite the equation in (x-p)^2 = q form

complete the square form

0=x^2-16x+36

(x-8)^2 =28

500

Solve x^2+8x+60=0

-4+/- 2 i sqrt 11

Linear-Quadratic Systems+

100

A trinomial x^2-2x+1 that can be written (x-1)^2 is known as a ?

perfect square trinomial

200

when you add (b/2)^2 to both sides of an equation you are ___________    _____    _________.

completing the square

300

how many solutions does y=x^2 - 3 and y=-2x+4 have?

2

400

Solve y = -1/2 x^2 and y=x-4

(-4,-8) and (2,-2)

500

Solve 2x^2+5x-8=2.5x+20 (nearest tenth)

3.2 and -4.4