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Simplify
Quadratic Equation
Division with Complex Numbers
Operations with Complex Numbers
Complex Solutions
100

√-4

2i

100

Solve and simplify 2x2 - 3x - 4 = 0

(3 +√41)/4 and (3 - √41)/4

100

The conjugate of 10 + 3i.

What is 10 - 3i?

100

Simplify (12+ 4i) + ( 4 - i)

16 + 3i

100

Solve 3x2 +  75 = 0

x = 5i or -5i

200

√ -7

i√ 7

200

How many real solutions will this equation have? 

x2 + 2x = -1

Hint: use the discriminant.

1 real solution

200

Solve -3 / i

3i

200

(-6 - 7i) - (1 + 3i)

-7 -10i

200

Solve x2 = -162

x = 9i√ 2 or -9i√2

300

i35

-i

300

How many real solutions will this quadratic have?

7 = 1/2x2 + 2x - 1

Hint: Use the discriminant.

2 real solutions

300

Solve (-10 + i) / -i

-1 - 10i

300

Simplify (-3i)(7i)

21

300

Solve -5x2 - 3 = 0

x = i√ 15 / 5 or -i√ 15 / 5

400

√ -50

5i√ 2

400

Solve 0 = -2x2 - 12x - 17

x = -3 + √ 2 / 2 and x = -3 - √ 2 / 2

400

(6 +5i) / (4 + 3i)

39/25 + 2/25 i

400

(6 - 4i)(-4 - 6i)

-48 - 20i

400

Solve (x-3)^2 + 16 = 4

3 + 2i√3 and 3 - 2i√3

500

(-√ -200)/5

-2i√ 2 

500

Solve 5𝑥2 + 6𝑥 − 7 = 6𝑥2 + 4

x = 3 + i√ 2 and x = 3 - i√ 2 

500

(2 - 4i) / (-3 + 5i)

-13/17 +i/17

500

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

13

500

(3y + 2)2 + 10 = -18

-2/3 + (2i√7)/3 and -2/3 - (2i√7)/3