Quadratics 1

Completing the Square

100

What do you add to x²+14x to make a perfect square trinomial.  

49

200

What do you add to x²-6x to make a perfect square trinomial?

9

300

Complete the square and write x² + 8x as a squared binomial.  

^(x+4)2

400

x²+ 18x = -41

-9+sqrt40 or -9-sqrt40

500

Solve x² - 16x = 4

x=8 + sqrt68 or 8-sqrt68

The Quadratic Formula

100

Identify A, B and C 

7x²-8x+9=0

A = 7           B = -8        C = 9

200

Identify A, B and C.  

6x²-8x=20

A = 6

B = -8

C=-20

300

Use the quadratic formula to solve 

x²-10=0

x=sqrt40/2 or -sqrt40/2

400

Solve using the quadratic formula.

 8x²+6x=1 

-6/16 + sqrt68/16 or -6/16 -sqrt68/16

500

Solve  2x²=4x+30 using the quadratic formula.  

x=-3, 5

Taking Roots

100

x²=81

x=9 or -9

200

x²=10

x=sqrt10 or -sqrt10

300

3x²=27

x=3 or -3

400

3x²+7=31

x=2sqrt2 or -2sqrt2

500

4x²-3=57

x=sqrt 15 or -sqrt 15

Simplifying Roots

100

Simplify  sqrt 36 

6

200

Simplify  2sqrt3+5sqrt3 

7sqrt3

300

Simplify  sqrt84 

2sqrt21

400

Simplify 

sqrt112

4sqrt7

500

Simplify 

sqrt480

4sqrt30

Complex Numbers

100

i²

-1

200

(5-3i) + (2-7i)

7-10i

300

(8-6i)-(12-2i)

-4-4i

400

(3-7i)(5+2i)

29-29i

500

(-3-9i)(12-4i)

-72-96i