1 / 6

Quadratic Equations

Quadratic Equations. A worked example. 67. x. x+7. Consider the rectangle below The area of the rectangle is given by A = x(x+7) So we now obtain the equation x(x+7) = 67 This simplifies to give x 2 + 7x - 67 = 0 , on moving all the terms to one side of the equation.

uriah-hood
Download Presentation

Quadratic Equations

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. Quadratic Equations A worked example

  2. 67 x x+7 • Consider the rectangle below • The area of the rectangle is given by A = x(x+7) So we now obtain the equation x(x+7) = 67 This simplifies to give x2 + 7x - 67 = 0 , on moving all the terms to one side of the equation.

  3. To solve this equation we use the quadratic equation • So we have a = 1 , b = 7 and c = - 67. • This gives

  4. This simplifies to • Which leads to • So • Giving the two solutions x = 5.40 and -12.40

  5. Now x -12.40 as you cannot have a negative length of side so we are left with the solution that x = 5.40

  6. 93 x+3 37 x+2 x+8 x+4 • Find x in each of the examples below. 1. 2.

More Related