Algebra 2

Imaginary numbers

100

Simplify

Square root of -9

+-3i

200

Simplify

Square root of -192

+-8i on the square root of 3

300

Solve

x²+81=0

x=+-9i

400

Solve

2x²+9=1

x=+-2i

500

Solve

4x²+15=-9

x=+-i on the square root of 6

Factoring Quadratics

100

Factor

x² - 16

(x - 4)(x + 4)

200

Factor

27x⁶+125

(3x²+5)(9x⁴-15x²+25)

300

Factor

4x²+56x-128

(x-2)(x+16)

400

Factor

250x⁷-432x

2x(5x²-6)(25x⁴+30x+36)

500

Factor

24x³-6x²+8x-2

2(4x-1)(3x²+1)

Complex Numbers

100

Simplify

2i(6-7i)

14+12i

200

Simplify

-8i(2+7i)+30i

56+14i

300

Simplify

(1-5i)²-(8-4i)

-6-6i

400

Simplify

(-1+5i)/i

5+i

500

Simplify

-1-8i/1-2i

3-2i

Absolute Value Equations

100

Solve

lx-9l=5

x={4,14}

200

Solve

16lr-5l=-32

No solution

300

Solve

-5=l8-pl-11

p={2,14}

400

Solve

l3x-9l=x+1

x={2,5}

500

Solve

-4w-2=l6w+20l

w={-9,-11/5}

Solving Quadratics

100

Solve

x²-64=0

X={+8,-8}

200

Solve

81x²+5=21

x={±4/9}

300

Solve

8x²+1=17

x={+- square root of 2}

400

Solve

9x²+3=111

x={+-2 on the square root of 3}

500

Solve

-1/2x²+1=-39

x={+-4 on the square of 3}