Miscellaneous
Solving by Factors or Square Roots
Complex Numbers
Completing the Square
100

Describe the transformation: f(x)=(x-8)2

Shifted right 8

100

Solve for x: 4x2 = 400

x = 10 & -10

100

i39 = ???????????????

-i

100

Find the value of C that completes the square:

x2 +10x +c

c = 25

100

Solve using the quadratic formula: x2 -14x +49 =0

x = 7

200

Describe the transformation: f(x)=(x+17)2 -13

Shifted left 17 and down 13

200

Solve for x: 3x2 -18 = 57

x = 5 & -5

200

Sq. Root of -64

+/- 8i

200

Find the value of C that completes the square:

x2 -26x +C

C = 169

200

x2 -4x +3 =0

x = 3 & 1

300

Describe the transformation: f(x)=2(x-3)2 +5

Vertical stretch of 2, right 3, and up 5

300

Solve for x: x2 -10x +16 = 0

x = 2 & 8

300

(4+2i) - (7-12i)

-3+14i

300

Complete the square and solve for x: x2+6x+3=0

x = -3 +/- sq.rt. 6

300

x2 +121 = -22x

x = -11

400

Multiply: (3w+7)(2w-4)

6w2+2w-28

400

Solve for x: x2 -4x -45 = 0

x = 9 & -5

400

(3+2i)(5+4i)

7+22i

400

Complete the square and solve for x: x2 -10x+7=0

x = 5 +/- 3sq.rt.2

400

Find the discriminant, say what type of answers you will get, and then solve. x2 +12x +36

0; one real: x=-6

500

Solve for x: 2x2 -28x +48 = 0

x = 12 & 2

500

(16+14i)(27-7i)

530+266i

500

Complete the square and solve for x:

x2 +12x +8 = 0

x = -6 +/- 2 sq.rt. 7

500

Find the discriminant, describe your roots, then solve: x2 -x +6 = 0

-23; two imaginary: x = (1+/- i sq.rt. 23)/2

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