Completing the Square

The New C variable

100

The quadratic is x²+2x+6

What is 1

200

The quadratic is x²-8x+19

What is 16

300

The quadratic is 2x²+20x+60

What is 25

400

The quadratic is 4x²+200x+1200

What is 625

500

The quadratic is x²+6x+9

There is no change

The Answer

100

The quadratic is x²+2x

0, -2

200

The quadratic is x²+6x+18

-14.8, -1.2

300

The quadratic is x²+22x+40

-20, -2

400

The quadratic is x²+12x+35

-7, -5

500

The quadratic is x²+7x

-7, 0

The Equation in the step before the Square Root is Found

100

x²+2x+3

(x+1)²=-2 

200

x²-9x-4

(x-(9/2))²=97/4

300

x²+12x-36

(x+6)²=72

400

x²+5x

(x+(5/2))²=25/4

500

x²-9x+9

(x-(9/2))²=45/4

The Square Root of This Equation

100

x²+4x+4

(x+4)

200

x²-2x+1

(x-1)

300

x²+12x+36

(x+6)

400

x²+18x+81

(x+9)

500

x²+82x+1681

(x+41)