Algebra 2--Quadratics and Complex Numbers

Discriminant

100

Find the discriminant and tell the types of solutions for 3x^2 + 5x - 2 = 0

What is 49, 2 real rational solutions

200

Find the discriminant and tell what type of solutions for x^2 - 3x + 4 = 0

What is -7, 2 solutions

300

Find the discriminant and tell what type of solutions for 2x^2 - 3x + 4 = 8

What is 41, 2 real irrational solutions

400

Find the discriminant and tell what type of solutions for -4x^2 = 5x + 6

What is -71, 2 imaginary solutions

500

Find the values of a for which the equation has 2 imaginary solutions ax^2 + 4x - 6 = 0

What is a<-2/3

Solving Quadratics

100

Solve: 4x^2 + 9 = -80

What is (i sqrt(89) / 2) and (-i sqrt(89) / 2)

200

Solve: x^2 - 8x + 40 = 6

What is 4+3i sqrt(2), 4-3i sqrt(2)

300

Solve: x^2 + 12x + 64 = -10

-6 + i sqrt(38), -6 - i sqrt(38)

400

Solve: 11x^2 = -4x - 1

What is -2/11 + i sqrt(7) / 11, -2/11 - i sqrt(7) / 11

500

Solve: 6x^2 + 2 = -4x

What is -1/3 + i sqrt(2) /3 , -1/3 - i sqrt(2) / 3

Add/Subtract/Reduce Complex Numbers

100

(2+3i) + (4+7i)

What is 6+10i

200

(5+6i) + (4-2i)

What is 9 + 4i

300

(6+5i) - (3+2i)

What is 3+3i

400

(2-7i) - (1-4i)

What is 1-3i

500

Reduce: i^90

What is -1

Multiplying/Dividing Complex

100

(3+2i)(5-i)

What is 17+7i

200

(6+2i)(6-2i)

What is 40

300

(2+3i)(4+7i)

What is -13+26i

400

1/(2+3i)

What is (2-3i)/13

500

(5+3i)/(2-2i)

What is (1+4i)/2

All about vertexes

100

Write the vertex form of: 4x²+5x-11=y

What is y= 4(x - 5/8)² - 13

200

Write the vertex form of: y= 2x²+3x-7

What is y=2(x + .75)² - 8

300

What is the vertex of y=(x -3)² -7

What is (3,-7)

400

Does the vertex form of y= -2(x+3)² +4 represent a maximum or a minimum parabola and where is the vertex located?

What is a maximum at (-3,4)

500

Does the vertex form of y= 3(x-2)² -6 represent a maximum or a minimum parabola and where is the vertex located?

What is a Minimum at (2,-6).