Math 2 Unit 5: Quadratics

Complex Numbers

100

What is i?

square root of -1

200

Simplify the expression.

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

7 + 7i

300

Simplify the expression.

(-2 + 9i) + (6 - 3i)

4 + 6i

400

Simplify the expression.

(8 + 2i) (4 - 3i)

38-16i

500

Simplify the expression.

(-3 - 8i) /(4 + i)

-4/17 +35i/17

Solving using Square Roots

100

Solve for the roots.

`(x-3)^2=25`

-2 and 8

200

Solve for the roots.

`x^2-49=0`

+7 and -7

300

Solve for the roots.

`x^2+16=0`

+4i and -4i

400

Solve for the roots.

`9x^2 + 5 = 41`

-2 and 2

500

Solve for the roots.

`2x^2-200=0`

-10 and 10

Solve by factoring

100

`x^2-5x-14=0`

7 and -2

200

`2x^2+2x-12=0`

2 and -3

300

`x^2-4x+4=0`

2

400

`x^2+8x-20=0`

x=-10,2

500

Solve using the quadratic formula

`x^2-9=0`

`(7+-\sqrt73)/4`

Use the best method

100

`x ^2 + 6x + 8 = 0`

-2 and -4

200

`x ^2 + 14x − 15 = 0`

1 and -15

300

`n^ 2 − 2n − 3 = 0`

3 and -1

400

`k ^2 − 12k + 23 = 0`

`6+-\sqrt13`

 

500

`p^ 2 + 14 p − 38 = 0`

`-7 +- \sqrt87`

Non-linear systems

100

The solutions of a linear-quadratic system are where the line and the parabola _______.

intersect

200

How many solutions can a linear-quadratic system have?

0, 1 or 2

300

What are the solutions for the following system?

y=-x² + 5x + 6    

y=x + 6

(0, 6) and (4, 10)

400

What are the solutions for the following system?

y = x² + 3x - 5

y = x + 3

(-4, -1) and (2, 5)

500

Find the solution.

y = x² - 4x + 6

y = x + 2

(1, 3) and (4, 6)