Factoring
Quadratic Formula
Complete the Square
Solve using Square Roots
Simplify the
Expression
100

x2+5x=0

x=-5 and x=0

100

What is the number in the radical using the quadratic formula for 9x2-6x-1=0

72

100

Fill in the blank to complete the square: x2-26x+____

169

100

3x^2=108

x=6 and x=-6

100

√(-9/8)

(3√2)i/4

200

k2+12k-45=0

k=-15 and k=3

200

x2+4x-3=0

x=-2+√7 and x=-2-√7

200

Write the factored product of x2+14x+____ using completing the square

(x+7)2

200

8y2+4=3y2+14

x=√2 and x=-√2

200

(2-3i)-(6-5i)

-4+2i

300

3x2-45x=48

x=-1 and x=16

300

3x2+6x+2=0

x=(-3+√3)/3 and x=(-3-√3)/3

300

x^2+4x=6

x=-2+√10 and x=-2-√10

300

3(p+1)2=81

x=-1+3√3 and x=-1-3√3

300

(5+i)(4-2i)

22-6i

400

4x2-24x+11=0

x=1/2 and x=11/2

400

2x2 = 5x - 8

x=(5+i√39)/4 and x=(5-i√39)/4

400

x2-8x+23=0

x=4+i√7 and x=4-i√7

400

4(x-7)2=-80

x=7+2i√5 and x=7-2i√5

400

2/(4+√11)

(-2√11+8)/5

500

10a2-13a+21=30

a=-1/2 and a=9/5

500

7x2-3x+3=x2+5x

x=(4+i√2)/6 and x=(4-i√2)/6

500

x2-5x+9=7x+1

x=6+2√7 and x=6-2√7

500

2(x+8)2 + 3x = 3x - 36

x=-8+3i√2 and x=-8-3i√2

500

(4i)/(-3+6i)

8/15-4i/15

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