1 / 13

Warm – up 10/29/09

HW due. Warm – up 10/29/09. Evaluate the expression. 1.) Solve the equation. 2.) 3.) 4.). 24, 8. -3, +3. 0. no real root. What’s HappeninToday. Warm Up Questions on HW A little bit about ‘Simplifying Radicals’ How to solve Quadratic Equations by taking the Square Root.

ruana
Télécharger la présentation

Warm – up 10/29/09

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. HW due Warm – up 10/29/09 Evaluate the expression. 1.) Solve the equation. 2.) 3.) 4.) 24, 8 -3, +3 0 no real root

  2. What’s HappeninToday • Warm Up • Questions on HW • A little bit about ‘Simplifying Radicals’ • How to solve Quadratic Equations by taking the Square Root

  3. 5.3: Solving Quadratics by taking Square Roots

  4. Properties of Radicals Product Property: The square root of a product equals the product of the square roots of the factors. HUH? Example: Quotient Property: The square root of a quotient equals the quotient of the square roots of the numerator and denominator. HUH? Example:

  5. Radicals are in SIMPLEST FORM when.. • No perfect square factors other than 1 are in the radicand. • No fractions are in the radicand. • No radicals appear in the denominator.

  6. EX:3 When you have a pair, bring the number out. Prime Factor 2 48 2 24 2 12 2 6 3

  7. EX:4 Simplify. When you have a pair, bring the number out. Prime Factor 45 3 3 15 5

  8. Let’s look at another type Can’t be simplified more Divide inside the radical.

  9. Let’s look at another type Simplify each part Write as two radicals

  10. Now let’s use this to solve some quadratic equations…… Write the original equation. Take the square root of both sides Isolate the squared term by subtracting 3 Simplify Isolate the x by dividing by -5 HOUSTON WE HAVE A PROBLEM!!!!!1

  11. We can’t have a radical in the denominator We need to rationalize the denominator. Multiply numerator and denominator by Simplify

  12. Write the original equation. Simplify Isolate the squared term by multiplying by 3 Isolate the x by subtracting 5 Take the square root of both sides BOO!

  13. Home WorkPage 267-268: #20-66 EVEN

More Related