Skip to content Skip to navigation

OpenStax-CNX

You are here: Home » Content » Quadratic Homework -- Homework: Solving Quadratic Equations

Navigation

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • Featured Content display tagshide tags

    This module is included inLens: Connexions Featured Content
    By: ConnexionsAs a part of collection: "Advanced Algebra II: Activities and Homework"

    Comments:

    "This is the "main" book in Kenny Felder's "Advanced Algebra II" series. This text was created with a focus on 'doing' and 'understanding' algebra concepts rather than simply hearing about them in […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Also in these lenses

  • Busbee's Math Materials display tagshide tags

    This module is included inLens: Busbee's Math Materials Lens
    By: Kenneth Leroy BusbeeAs a part of collection: "Advanced Algebra II: Activities and Homework"

    Click the "Busbee's Math Materials" link to see all content selected in this lens.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Quadratic Homework -- Homework: Solving Quadratic Equations

Module by: Kenny M. Felder. E-mail the author

Summary: Some homework problems on solving quadratic equations.

Exercise 1

2x 2 5x 3 = 0 2x 2 5x 3 = 0 size 12{2x rSup { size 8{2} } - 5x - 3=0} {}

  • a. Solve by factoring
  • b. Solve by completing the square
  • c. Solve by using the quadratic formula x=b±b24ac2ax=b±b24ac2a size 12{x= { { - b +- sqrt {b rSup { size 8{2} } - 4 ital "ac"} } over {2a} } } {}
  • d. Which way was easiest? Which way was hardest?
  • e. Check your answers by plugging back into the original equation.

For exercises #2-6, solve any way that seems easiest.

Exercise 2

x 2 5x + 30 = 5 ( x + 1 ) x 2 5x + 30 = 5 ( x + 1 ) size 12{x rSup { size 8{2} } - 5x+"30"=5 \( x+1 \) } {}

Exercise 3

3x 2 + 24 x + 60 = 0 3x 2 + 24 x + 60 = 0 size 12{3x rSup { size 8{2} } +"24"x+"60"=0} {}

Exercise 4

2 3 x 2 + 8 . 5x = πx 2 3 x 2 + 8 . 5x = πx size 12{ { {2} over {3} } x rSup { size 8{2} } +8 "." 5x=πx} {}

Exercise 5

x 2 x = 0 x 2 x = 0 size 12{x rSup { size 8{2} } - x=0} {}

Exercise 6

9x 2 = 16 9x 2 = 16 size 12{9x rSup { size 8{2} } ="16"} {}

Exercise 7

Consider the equation x2+8x+c=0x2+8x+c=0 size 12{x rSup { size 8{2} } +8x+c=0} {} where cc size 12{c} {} is some constant. For what values of cc size 12{c} {} will this equation have…

  • a. Two real answers?
  • b. One real answer?
  • c. No real answers?

Exercise 8

Starting with the generic quadratic equation ax2+bx+c=0ax2+bx+c=0 size 12{ ital "ax" rSup { size 8{2} } + ital "bx"+c=0} {}, complete the square and derive the quadratic formula. As much as possible, do this without consulting your notes.

Content actions

Download module as:

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks