Equations Review

Real / Imaginary

100

Square Root of -81?

x₁= 3i

x₂= -3i

200

Square root of -245?

x₁= 7i*sqrt(5)

x₂= -7i*sqrt(5)

300

Square root of -28 times Square root of -28?

x₁= -28

400

Square root of -5 times Square root of 30?

x₁= 5i*sqrt(6)

500

Square root of -168 over Square root of 24??

x₁= i*sqrt(7)

Standard Complex Form

100

3+4+6i+5i

7+11i

200

(-3+6i)+(-5-3i)

-8+3i

300

(3+5i)-(8-2i)

-5+7i

400

(2-4i)(-6+4i)

4+32i

500

(8 − 6i)(−4−4i)

-56-8i

Quadratic Standard Form

100

(7−2x)²

4x²-28x+49

200

(x−6)(x+6)

x²-36

300

(x+2)(x−5)

x²-3x-10

400

(3x−7)(x+2)

3x²-x-14

500

(5x−4)(7x+3)

35x²-13x-12

Factorize Quadratic

100

2x²+6x

2x(x+3)

200

x²−4x−5

(x-5)(x+1)

300

x²+9x+20

(x+5)(x+4)

400

2x²+16x+30

(2x+6)(x+5)

500

3x²-22x-16

(3x+2)(x-8)

Quadratic Equation

100

x²+2x−8=0

x₁= 2

x₂= -4

200

2x²−5x+3=0

x₁= 3/2

x₂= 1

300

2x²−x−4=2

x₁= 2

x₂= -3/2

400

8x²−4x=18

x₁= [1+sqrt(37)]/4

x₂= [1-sqrt(37)]/4

500

14x²+1=6x²+7x

x₁= [7+sqrt(17)]/16

x₂= [7-sqrt(17)]/16