Quadratic Equations (Part 1)

Use Square Roots

100

x²=81

x=+9 and -9

200

3x²-5=295

x=10 and x=-10

300

(x+7)²=144

x=5 and x=-19

400

100+(x-2)²=149

x=-5 and x=9

500

3(x+1)²-75=117

x=7 and x=-9

Zero Product Property

100

(x+6)(x+2)=0

x=-6 and x=-2

200

(x-3)(x+7)=0

x=3 and x=-7

300

(7x+1)(x+8)=0

x=-1/7 and x=-8

400

(11x+33)(-17x+19)=0

x=-3 and x=19/17 

500

(-46x-184)(16x-168)=0

x=-4 and x=10.5 or 21/2

Factor the GCF

100

4x²+16

4(x²+4)

200

6x²-8x

2x(3x-4)

300

9x²-36x+81

9(x²-4x+9)

400

15x³+9x²-27x

3x(5x²+3x-9)

500

28x¹⁰+14x⁷+21x⁴+35x²

7x²(4x⁸+2x⁵+3x²+5)

Factoring

100

x²-14x+24

(x-12)(x-2)

200

x²-5x-66

(x+6)(x-11)

300

x²-18x+80

(x-8)(x-10)

400

x²-10x-56

(x+4)(x-14)

500

x²-x-156

(x+12)(x-13)

Factor Difference of Squares

100

x²-81

(x+9)(x-9)

200

x²-144

(x+12)(x-12)

300

9x²-49

(3x+7)(3x-7)

400

36x²-100

(6x+10)(6x-10)

500

25x²+121

Not possible