Completing the Square

Complete the Square

100

Find the value that will complete the square: 

x²+4x

4

200

Find the value that will complete the square: 

x²+8x

16

300

Find the value that will complete the square: 

x²-12x

36

400

Find the value that will complete the square: 

x²-3x

9/4

500

Find the missing term that makes the expression a squared expression: 

x²+_____x+36

12

= 0

100

n²-4n-45=0

n=9, -5

200

n²+10n-44=0

n=3.31, -13.31

n = -5 - square root of 69

-5 + square root of 69

300

b²-5b-66=0

b=11, -6

400

r²-13r-24=0

r=14.64, -1.64

r = (13 - square root of 265)/2

(13 + square root of 265)/2

500

n²-18n+94=0

n = 9 + i square root of 13

9 - i square root of 13

Not = 0

100

k²-18k+47=3

k= 9 - square root of 37

9 + square root of 37 

200

b²=80+2k

b=10, -8

300

x²=82-10x

x=5.34, -15.34

x= -5 - square root of 107

-5 + square root of 107

400

r²+7r-62=-5r

r=3.90, -15.90

r = -6 - 7 square root of 2

-6 + 7 square root of 2

500

n²+6n-75=-n+3

n=6, -13

a not equal 1

100

10n²-20n-80=0

n=4, -2

200

6m²-12m-15=3

m=3, -1

300

6x²+12x-34=2

x=1.65, -3.65

x = -1 - square root of 7

- 1 + square root of 7

400

3v²-24=6v

v=4, -2

500

7x²-72=-10x

x=18/7, -4

Other

100

Simplify i³⁴

-1

200

A book seller sells at a constant rate of 4 books per day. Would this be modeled with a linear, exponential or quadratic function?

Linear

300

Solve the system of equations: 

x+y=3

2x-y=9

(4, -1)

400

x⁴ + 216x

x(x + 6)(x² -6x 36)

500

Find the slope of the line between the point (2, 4) and (-3, 14)

Slope: -2