Solve each equation by factoring.
Solve using square roots.
Solve each equation with the quadratic formula
☠Pick your Poison (choose method)
Solving by Completing the Square
100

(x+4)(x+5)

-4, -5

100

x2 = 25

x= 5 or x = -5

100

m2 − 5m − 14 = 0

{7, −2}

100

a2 + 14a - 51 = 0

{3, -17}

100

What special number "c" will complete the square:

x2-10x 

+25

200

(x+3)(x-5)

-3, 5

200

x 2 = 16

x = 4 or x = -4

200

b2 − 4b + 4 = 0

{2}

200

x2 − 12x + 11 = 0

{11, 1}

200

After you complete the square with the "special constant", what will go in the ?'s of the factors?

x2 + 6x + ____ = 15 + ___

( ?  +   ? )2

(x + 3)

300

r2 + 7r + 12 = 0

-4, -3

300

36 = x2

a = 6 or a = -6

300

2x2 − 3x − 5 = 0

{5/2 , −1}

300

n2 - 18n - 40

{20, −2}

300

Solve the equation by completing the square method.

x2-16x=-15

x = 1 & 15

400

v2 + 7v +6 =0

-1, -6

400

± 2 - 7 = ?

x = -5

x = -9

400

9n2 = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

400

x2 − 10x + 18

{5 + square root 7, 5 square root − 7}

400

Solve the equation by completing the square method.

x2+10x + 9 = 0

x = -9 , -1