Completing the Square

Solve Completely

100

Solve the equation. (x-2)²=16

-2,6

200

Solve the equation. (x-3/2)²=13

±√13+3/2

300

Solve the equation. x²-10x+25=16

1,9

400

Solve the equation. x²-2x+1=3

1±√3

Complete the Square

100

Complete the square for each expression. Write the resulting express as a binomial squared. x²+14x+?

x²+14x+49=(x+7)²

200

Complete the square for each expression. Write the resulting express as a binomial squared. x²-12x+?

x²-12x+36=(x-6)²

300

Complete the square for each expression. Write the resulting express as a binomial squared. x²+338x+?

(x+13)²

400

Complete the square for each expression. Write the resulting express as a binomial squared. x²-9x+?

x²-9x+81/4=(x-9/2)²

SOLVE by completing the square

100

Solve the equation by completing the square. x²-6x=-4

3±√5

200

2x²-20x=8

5±√29

300

x²=24-4x

-2±2√7

400

10x+x²=42

-5±√67

Misc.☺︎

100

How do you find the "c" term when completing the square.

 b/2 then square the number

200

Name two ways to solve for the roots of a quadratic.

complete the square, factoring, ready to solve

300

What should you do first in order to solve x²-2x+8=0 by completing the square?

subtract 8

400

What should the equation look like in the next step:       x²+12x+36 = 5 + 36

(x+6)² = 41