Complex Numbers

Adding & Subtracting Complex numbers

100

(3 +4i)+(5+5i)

8 + 9i

200

(2 -3i)+(6+7i)

8 + 4i

300

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

-4 - 4i

400

(6 +7i)-(3+5i)

3+2i

500

(8 +i)-(-2-2i)

10+3i

Multiplying Complex Numbers

100

(3 +4i)(5+5i)

-5 + 35i

200

(1 -3i)(2+4i)

14-2i

300

(3i)(4-i)

3+12i

400

(2 +3i)(2-3i)

13

500

(2 +5i)²

-21+20i

Random Operation

100

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

-2-i

200

(2 +2i)(4+i)

6+10i

300

(2 +7i)+(4+6i)

8 + 13i

400

(6 +2i)(4+8i)

8+56i

500

(3+5i)²

-16+30i

Complex Conjugates

100

Complex conjugate of (2-i)

(2+i)

200

Complex conjugate of (3-10i)

(3+10i)

300

Complex conjugate of (-39+7i)

(-39-7i)

400

Find the product: 

(14-3i)(14+3i)

205

500

Find the product: 

(a+bi)(a-bi)

a²+b²

The Discriminant

100

Find the discriminant AND find how many and what kind of roots the quadratic has:

y=x²+6x+7

16 and 2 rational roots

-5

-1

200

Find the discriminant AND find how many and what kind of roots the quadratic has:

y=x²+4x-7

44 and 2 irrational roots

-2- √(11)

-2+√(11)

300

Find the discriminant AND find how many and what kind of roots the quadratic has:

y=4x²-4x+5

-64 and 2 complex roots

1/2 +i

1/2 - i

400

Find the discriminant AND find how many and what kind of roots the quadratic has:

y=x²-6x+9

0 and 1 rational root

3

500

Find the discriminant AND find how many and what kind of roots the quadratic has:

y=9x²-12x+13

-324 and 2 complex roots

2/3 +i

2/3 - i