Complete the Square

Find the value of "C"

100

Complete the square. Find the value of C.

x² + 10x + c

What is 25

200

Complete the square. Find the value of C.

y² − 30y + c

what is 225

300

Complete the square. Find the value of C.

h² − 24h + c  

what is 144

400

Complete the square. Find the value of C.

j² + 3j +  c

what is 9/4

500

Complete the square. Find the value of C.

h² + 11h +  c

what is 121/4

Vertex form by Completing the Square

100

Put the following quadratic form into vertex form using "complete the square".

Y = x² – 10x +21

y= (x-5)² - 4

200

Put the following quadratic form into vertex form using "complete the square".

Y = x² +8x +3

y= (x+4)² - 13

300

Put the following quadratic form into vertex form using "complete the square".

y= x² +12x+32

y = (x+6)² - 4

400

Put the following quadratic form into vertex form using "complete the square".

y= x² + 10x +23

y= (x+5)² - 2

500

Put the following quadratic form into vertex form using "complete the square".

y= x² + 4x +9

y= (x+2)² +5

(b/2)^2

100

x² + 4x + 6

4

200

x² - 6x +8

9

300

2x² + 20x + 3

25

400

x² + 60x + 7

900

500

6x² + 9x + 5

0.5625

Solve for x

100

(x-5)^2-4

x = 9 and x = 1

200

(x+7)^2-1

x = -6 and x = -8

300

(x-23)^2-16

x = 27 and x = 19

400

(x+100)^2-3

x=-100+sqrt3

x=-100-sqrt3

500

(x-2)^2-5

x=2+sqrt5

x=2-sqrt5