Solving Quadratics Review

DOTS

100

(x²-9) = 0

(x+3)(x-3)

200

(a²-b²) = 0

(a+b)(a-b)

300

(x²-16) = 0

(x+4)(x-4)

400

(25x²-4) = 0

(5x+2)(5x-2)

500

(121x²-144) = 0

(11x+12)(11x-12)

Completing the Square

100

x²+12x+4 = 0

x = -6 ± 4√2

200

x^x-10x=1

x= 5 ± √26

300

x²-2x-63=0

x-1 = ± 8

400

x²+8x-33=0

x+4= ± 7

500

x²+14x+34=0

x = -7 ± √15 

Factoring

100

FACTOR: x²+4x+4

(x+2)(x+2) --> (x+2)²

200

SOLVE: x²-6x-16=0

x = 8

x = -2

300

FACTOR: x²+11x+10

(x+10)(x+1)

400

SOLVE: x²+16x+64 = 0

x = 8

500

SOLVE: x²+3x=40

x = -8

x = 5

Square Roots

100

x²-25 = 0

x = ± 5

200

x²=16

x = ± 4

300

x²=10

x = ± √10

400

x²-49 = 0

x = ± 7

500

x² - 169 = 0

x = ± 13

Quadratic Formula

100

x²+3x+2 = 0

x = -1

x = -2

200

x²-10x-1 = 0

x= 5 ± √26

300

2x²-13x-24 = 0

x = 8

x = -1.5

400

2x²+7x+1 = 0

x = -7 ± √41 / 4

500

x²+8x-4 = 0

x = -4 ± 2√5