Completing the Square

Solve by finding square roots

100

(x-4)² = 25

What is x = 9 and x =-1

200

(x+10)² +7= 88

What is x = -19 and x = -1

300

2(x+5)² - 1= 127

What is x= -13 and x = 3

400

(x-11)² = 27

What is x = 11 ± 3√(3)

500

(x+4)² - 10= 10

What is x = -4 ± 2√(5)

Find "c" to complete the square

100

x² + 16x + c

What is 64

200

x² + 6x + c

What is 9

300

x² - 12 + c

What is 36

400

x² + 3x + c

What is 9/4

500

x² + 11x + c

What is 121/4

Solve by Completing the Square (a=1)

100

x²-20x+87=-4

13, 7

200

x²-8x-2=-9

7, 1

300

x²+12x+18=-9

-3, -9

400

x²+6x-77=-5

6, -12

500

x²+4x-43=2

5, -9

Solve by Completing the Square (a not 1)

100

6x²-12x-90=0

5, -3

200

3x²-6x=9

3, -1

300

2x²-8x-14=10

6, -2

400

4x²+16x-38=10

2, -6

500

4x²+16x-42=-9

1.5, -5.5