Completing the Square

Solving Square Root

100

Solve the equation. (x-2)²=16

-2 and 6

200

Solve the equation. (x-3/2)²=13

3/2±√13

300

Solve the equation. (x-5)²=16

1 and 9

400

Solve the equation. 4(x-1)²=12

1±√3

500

Solve the equation. 2(x+4)²=12

-4±√6

Perfect Square Trinomials

100

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

x²+14x+49=(x+7)²

200

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

x²-12x+36=(x-6)²

300

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

(x+169)²

400

Is x²-5x+25 a perfect square trinomial? AND what would make it a perfect square trinomial? 

No AND x²-10x+25

500

Complete the square for each expression. Write the resulting expression as a binomial squared with fractions not decimals. 

 x²-9x+?

x²-9x+81/4=(x-9/2)²

Solving Complete the Square

100

Solve the equation by completing the square. x²-6x+4=0

3±√5

200

Solve the equation by completing the square. x²-10x-4=0

5±√29

300

Solve the equation by completing the square. 

x²+4x-24=0

-2±√28

400

Solve the equation by completing the square. 

x²+10x=42

-5±√67

500

Solve the equation by completing the square. 2x²+12x+2=0

HINT: (Divide out the common factor first)

x= -3±√8