Google Classroom

Complete the Square

100

Solve by completing the square

m² + 30m + 11 = 0

(m+15)²=225

m=-0.37 or -29.63

200

Solve by completing the square

x²+4x+4=0

(x+2)²=0

x=-2

300

Solve by completing the square

x² − 26x = –25

(x-13)²=144

x= 25 or x=1

400

Solve by completing the square

u² − 2u = 3

(u-1)²=3

u= 3 or -1

500

Solve by completing the square

w² + 20w + 41 =5

(w+10)²=64

w= -2 or -18

Quadratic Formula

100

Solve using quadratic formula

7x² + 9x + 2 = 0

x = -0.28 or -1

200

Solve using the quadratic formula 

4x² + 4x - 7 = 0

x= 0.91 or -1.91

300

Solve using the Quadratic Formula. 

3x²+6x+3=0

x= -1

400

Solve using the Quadratic Formula. 

–9x² + 8x + 3 = 0

x= -0.28 or 1.17

500

Solve using quadratic formula

8x² - 5x - 1 = 3

x= 1.09 or -0.46

Zero Product Property

100

Solve using Zero Product Property.

(x+3)(x-8)=0

x= -3 or 8

200

(x+2)² = 0

x=-2

300

Solve using Zero Product Property.

x²+3x-18=0

x= -6 or 3

400

Solve using Zero Product Property.

5x(3x+1) = 0

x= 0 or -1/3

500

(-2x+6)(3x-3)=0

x= 3 or 1

Imaginary Numbers

100

What number replaces i²?

-1

200

-4i + 6i = ?

2i

300

(2i)(5i) = ? 

-10

400

-3i(4 + 2i) = 

-12i+6  or  6-12i

500

4(3i)² = 

36

Imaginary Number Equations

100

x² = -25

x= 5i and -5i

200

x² + 50 = 14

x = 6i and -6i

300

100x² + 46 = 30

x = 4i/10 and -4i/10

400

Solve by completing the square. 

x²+6x+13=0

(x+3)²=-4

x= -3+2i or -3-2i

500

Solve by using the Quadratic Formula.

3x²-6x+6 = 0

x = 1+i and 1-i