Show:
Discriminant
Solving Quadratics
Add/Subtract/Reduce Complex Numbers
Multiplying/Dividing Complex
Quadratic Systems
100
Find the discriminant and tell the types of solutions for 3x^2 + 5x - 2 = 0
What is 49, 2 real rational solutions
100
Solve: 4x^2 + 9 = -80
What is (i sqrt(89) / 2) and (-i sqrt(89) / 2)
100
(2+3i) + (4+7i)
What is 6+10i
100
(3+2i)(5-i)
What is 17+7i
100

Solve by Factoring: 0=x2+7x+12

(x+3)(x+4) ==> x = -3, -4

200
Find the discriminant and tell what type of solutions for x^2 - 3x + 4 = 0
What is -7, 2 imaginary solutions
200
Solve: x^2 - 8x + 40 = 6
What is 4+3i sqrt(2), 4-3i sqrt(2)
200
(5+6i) + (4-2i)
What is 9 + 4i
200
(6+2i)(6-2i)
What is 40
200

Solve by factoring. y=25x2 - 36

(5x+6)(5x-6) ==> x=6/5 , -6/5

300
Find the discriminant and tell what type of solutions for 2x^2 - 3x + 4 = 8
What is 41, 2 real irrational solutions
300
Solve: x^2 + 12x + 64 = -10
-6 + i sqrt(38), -6 - i sqrt(38)
300
(6+5i) - (3+2i)
What is 3+3i
300
(2+3i)(4+7i)
What is -13+26i
300

Solve by factoring: 3x2+10x-5=3

(3x-2)(x+4) ===>2/3, -4

400
Find the discriminant and tell what type of solutions for -4x^2 = 5x + 6
What is -71, 2 imaginary solutions
400
Solve: 11x^2 = -4x - 1
What is -2/11 + i sqrt(7) / 11, -2/11 - i sqrt(7) / 11
400
(2-7i) - (1-4i)
What is 1-3i
400
1/(2+3i)
What is (2-3i)/13
400

Factor completely y=12x2-27

3(2x-3)(2x+3)

500
Find the values of a for which the equation has 2 imaginary solutions ax^2 + 4x - 6 = 0
What is a<-2/3
500
Solve: 6x^2 + 2 = -4x
What is -1/3 + i sqrt(2) /3 , -1/3 - i sqrt(2) / 3
500
Reduce: i^90
What is -1
500
(5+3i)/(2-2i)
What is (1+4i)/2
500

Solve by Factoring. 6x2-39x-45=0

3(2x-15)(x+1) ====> (x= 15/2, -1)