1 / 19

5.3: Solving Quadratic Equations by Finding the Square Root

5.3: Solving Quadratic Equations by Finding the Square Root. Objectives: Students will be able to… Write a square root radical in simplest form Solve a quadratic equation by finding the square root. RADICALS. Radical sign. The whole expression is called a radical. If r 2 = s:

sanjiv
Download Presentation

5.3: Solving Quadratic Equations by Finding the Square Root

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. 5.3: Solving Quadratic Equations by Finding the Square Root Objectives: Students will be able to… Write a square root radical in simplest form Solve a quadratic equation by finding the square root

  2. RADICALS Radical sign The whole expression is called a radical. If r2 = s: r is the square root If s is positive, it has 2 square roots: 32=9 3, -3 Radicand (# under radical sign)

  3. If the radicand is not a perfect square, you can simplify it using properties of square roots. Product Property: To Simplify: • Break radicand down into 2 factors (one MUST be the highest perfect square factor other than 1) • Split into 2 radicals • Simplify • If no perfect square factor, the radical is in simplest form

  4. Examples: Simplify: You can only multiply 2 numbers if they are both under a radical or both outside the radical!!

  5. Simplify:

  6. Quotient Property Technically, a radical is not in simplest form if you have a fraction under the radical or a radical in the denominator. To get rid of a radical in denominator, we rationalize the denominator.

  7. Examples: Simplify:

  8. Examples: Simplify

  9. You can use square roots to solve some types of quadratics. One type is if there is no linear term: ax2+c=0 Remember…if x2 = s, then x=± Two roots!!!!

  10. Solve:

  11. Solve:

  12. Solve: You can check your answers by substituting answer back into original problem, or graph and find x-intercepts!!

  13. Solve…why does this look different?? 3(x-2)2=21 Isolate squared expression first: Take square root of both sides: Set up 2 equations:

  14. Solve:

  15. Solve:

  16. When an object is dropped, the height, h (in feet) of an object at any time t (in seconds) is modeled by : Initial height

  17. The tallest building in the U.S. is in Chicago. It is 1450 ft. tall. a.) How long would it take a penny to drop from the top of the building? b.) How fast would the penny be traveling when it hits the ground if the speed is given by s=32t where t is the number of seconds since the penny was dropped.

  18. How long will it take an object dropped from a 550 ft tall tower to land on the rood of a 233 fttall building?

More Related