Imaginary and Complex Numbers
Operations with Complex Numbers
Using the Quadratic Formula
Simplifying a Square Root
Nature and Number of Roots
100

sqrt(-25)

What is 

5i?

100

(4-9i)+(7-2i)

What is 

11-11i?

100
Solve using the quadratic formula, and show answer in simplest form. 


3a^2-4a-4=0

What is 

a=3, a=-2/3?

100

Simplify the square root: (no decimal answers allowed)

sqrt(18)

What is 

3sqrt(2)?

100
Evaluate the discriminant, and state the number and nature of the roots for this quadratic equation.

x^2-8x+16=0

What is 0, 1 real solution?
200

(sqrt(-6))^2

What is -6?
200

(-6+4i)-(12+i)

What is 

-18+3i

200

Solve using the quadratic formula, and show answer in simplest form. 

x^2-4x-7=0

What is 

2+-sqrt(11)?

200

Simplify the square root: (no decimal answers allowed)


sqrt(60)

What is 

2sqrt(15)?

200

Evaluate the discriminant, and state the number and nature of the roots for this quadratic equation.

3x^2+5x=-2

What is 1, 2 real solutions?
300

6-sqrt(-100)

What is 

6-10i

300

4i(2-7i)

What is 

28+8i

300

Solve using the quadratic formula, and show answer in simplest form. 

x^2+6x=-13

What is 

-3+-2i?

300

Simplify the square root: (no decimal answers allowed)

sqrt(-92)

What is 

2isqrt(23)?

300

Evaluate the discriminant, and state the number and nature of the roots for this quadratic equation.

8x^2=-14x-3

What is 100, 2 real solutions?
400

8-sqrt(-40)

What is

8-2isqrt(10)

400

(4+5i)(2-9i)

What is 

53-26i

400

Solve using the quadratic formula, and show answer in simplest form. 

10x^2-11x+9=13x-6x^2

What is 

3/4?

400

Simplify the square root: (no decimal answers allowed)

sqrt(72)

What is 

6sqrt(2)?

400

8x^2+72=0

Evaluate the discriminant, and state the number and nature of the roots for this quadratic equation.


What is 2,304, 2 real solutions?
500

(sqrt(-7))^2-sqrt(-56)

What is 

-7-2isqrt(14)

500

(6-11i)^2

What is 

-85-132i

500

Solve using the quadratic formula, and show answer in simplest form.

3x^2+8x+5=-2x^2

What is 

(-4+-3i)/5

500

Simplify the square root: (no decimal answers allowed)

sqrt(-240)

What is 

4isqrt(15)?

500

Evaluate the discriminant, and state the number and nature of the roots for this quadratic equation.

9x^2=-11x-4


What is -44, 2 imaginary solutions?
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