"i" Spy
Real-y Complex
The "i"s Have It
The "i" of the Storm
Radically Different
100

What is the complex conjugate of  -100i ?

100i

Just change the sign on the imaginary portion! 
100

Simplify: (3-2i) - (7-4i)

-4+2i

100

Simplify:

5i(6+7i)

35+30i

100

Divide and Simplify:

(5+6i) / (4i)

(6-5i) / 4

100

Solve for x; must check for extraneous solutions:

(sqrt 3x-2) - 7 = 0

x=17

200

Simplify:

(7-5i) -2 + (10-4i)

15-9i

200

Simplify: 

3(8-2i)

24-6i

200

Simplify:

(9-3i)(1-3i)

-30i

200

Divide and Simplify:

(2-5i) / (5i)

(-5-2i) / 5

200

Solve for x; must check for extraneous solutions:

4(sqrt x) - 5= 27

x=64

300

What is the complex conjugate of -7+6i ?

-7-6i

300

Simplify:

(8i) - (2i) +3 - (2i)

3+4i

300

Divide and Simplify:

(2-i) / (3+i)




(1-i) / 2

300

Solve for x:

x2 -4x +10 = 0

2+/- i (sqrt 6)

300

(sqrt x+1) = x - 1

x=3

and

x=0 <-extraneous 

400

What does -6+7i2 simplify to?

-13

400

Simplify:

(10-2i)(2+4i)

28+36i

400

Simplify:

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

38-26i

400

Solve for x and Simplify:

x2 +8x + 20 =0

-4 +/- 2i

400

(sqrt 7x-1) = (sqrt 5x +5)

x = 3

500

Simplify:

100 - (-10i + 6) + (4i - 5)

89+14i

500

Simplify:

213i - (5 - 10i) - (2i2)

-3 + 223i

500

Divide and Simplify:

(8) / (4+2i)

(8-4i) / 5

500

Solve and Simplify:

 3x2 +6x + 7=0

[-3 +/- 2i (sqrt 3)] / 3

500

(sqrt 9-3x) = (3-x)

x=0

and

x=3

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