Algebra 2 Quadratic Equations and Complex Numbers

Powers of i

100

What is the the value of

i ?

sqrt(-1)

200

What is the value of 

i^2 ?

-1

300

What is the value of 

i^4 ?

1

400

What is the value of 

i^19?

-i

500

What is the value of 

i^5281?

i

Operations with Complex Numbers

100

(6−10i)+(−10−i)

−4−11i

200

(−3−2i)−(11+10i)

−14−12i

300

(1−5i)(4−5i)

−21−25i

400

(5+i)(−10+6i)

-56+20i

500

(−12−3i)^2

135+72i

Solving Quadratic Equations by Factoring

100

Solve the equation by factoring:

x^2+4x=0

x=0

x=-4

200

Solve the equation by factoring:

x^2-81=0

x=-9

x=9

300

Solve the equation by factoring:

x^2+6x-100=6x

x=-10

x=10

400

Solve the equation by factoring:

x^2+21x+50=6x

x=-5

x=-10

500

Solve the equation by factoring:

x^2-2x-45=2x

x=-5

x=9

Quadratic Formula Real Roots

100

Solve the equation using the quadratic formula:

20w^2+13w+2=0

w=-1/4

x=-2/5

200

Solve the equation using the quadratic formula:

12b^2+21b+10=3b^2

b=-2/3

b=-5/3

300

Solve the equation using the quadratic formula:

c^2+c-19=4c

(3+-sqrt(85))/2

400

Solve the equation using the quadratic formula:

3a^2+6a+8=6

a=(-3+-sqrt(3))/3

500

Solve the equation using the quadratic formula:

-3w^2+8w+10=-4w^2

w=-4+-sqrt(6)

Quadratic Formula Complex Roots

100

Solve the equation using the quadratic formula:

x^2+18x+97=0

-9+-4i

200

Solve the equation using the quadratic formula:

x^2-4x+13=0

2+-3i

300

Solve the equation using the quadratic formula:

2x^2+11x+19=0

x=(-11+-isqrt(31))/4

400

Solve the equation using the quadratic formula:

4x^2-32x+71=0

x=(8+-isqrt(7))/2

500

Solve the equation using the quadratic formula:

9x^2=6x-4

x=(1+-isqrt(3))/3