Completing the Square

✎Find the value to complete the square✎

100

complete the square: x²+6x+c

c=9

200

complete the square: x²-12x+c

c=36

300

complete the square: x²+5x+c

c=25/4

400

complete the square: x²-3x+c

c=9/4

500

complete the square: x²+1/2x+c

c=1/16

☆Write Equation as a Binomial Squared☆

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+26x+?

x²+26x+169 = (x+13)²

400

Complete the square for each expression. Write the resulting express as a binomial squared. x²-2x+?

x²-2x+1=(x-1)²

500

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

x²-9x+81/4=(x-9/2)²

♡Factor the perfect square trinomials♡

100

Factor: x²+2x+1

(x+1)²

200

Factor: x²-10x+25

(x-5)²

300

Factor: x²+8x+16

(x+4)²

400

Factor: x²+7x+49/4

(x+7/2)²

500

Factor: 2x²-12x+18

2(x-3)²

☃Solving Quadratics b=0☃

100

Solve each quadratic equation

x²=25

x=-5 or x=5

200

Solve each quadratic equation

3x²=48

x=-4 and x=4

300

Solve each quadratic equation

2x²-18=0

x=-3 or x=3

400

Solve each quadratic equation

(x-4)²=36

x=-2 or x=-10

500

Solve each quadratic equation

2(x+3)-50²=0

x=-8 or x=2

Solving Quadratics completing the square

100

Solve each quadratic equation

x²+6x+5=0

x=-1 or x=-5

200

Solve each quadratic equation

x²+10x+22=6

x=-2 or x=-8

300

Solve each quadratic equation

x²+5x+4=0

x=-1 or x=4

400

Solve each quadratic equation

2x²+12x+10=0

x=-1 or x=-5

500

Solve each quadratic equation

3x²-18x-25=2

x=3