Complex Numbers
Solve by Factoring
Solving Quadratics By Taking Square Roots
Solving Quadratics by Completing the Square
Solve using Quadratic Formula
100

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

5 + 9i

100

Solve the Quadratics by Factoring

x2+2x=3

x = -3,1

100

Solve the equation by taking the square root : 

x2=12

 x = +- 2sqrt3 

100

x2 − 12x + 11 = 0

{11, 1}

100

x2 − 4x + 4 = 0

(2)

200

(12 + 4i) - (8 - 2i)

4 + 6i

200

Solve the Quadratics by Factoring 

x2+16=10x

x = 2, 8

200

Solve the equation by taking the square root : 

7x2=63

x = +-3 

200

x2 + 14x − 15 = 0

{1, −15}

200

x2 + 4x + 3 = 0

(-1, -3)

300

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

22 - 7i

300

Solve the Quadratics by Factoring

x2-5x+6=0

x = 2 and 3

300

Solve the equation by taking the square root : 

x+ 9=5

x = +-2i

300

x2 + 4x = 5

{1 , -5}

300

4x2 + 8x + 7 = 4

(-1/2, -3/2)

400

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

-7 + 26i

400

Solve the Quadratics by Factoring

6n2 - n=2

n = -1/2 and 2/3

400

Solve the equation by taking the square root : 

(x-4)2-16=0

x = 0 and x=8

400

x= −4 + 8x

x = 4 +- 2sqrt3

400

4x2 − 2x −25 = −2x

(5/2, -5/2)

500

(3 - 4i)2

-7 - 24i

500

Solve the Quadratics by Factoring

2x2-8=31x-2x2

x = -1/4 and 8

500

Solve the equation by taking the square root : 

(x-3)2-18=0

x =  3 +- 3sqrt2 


500

x2 − 2x + 10 = 0

x =  1 +-3i 

500

2x2 − 7x − 13 = −10

(7+√73 / 4, 7-√73 / 4)

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