Article: Let's say you're working with the following equation: 3x2 + 4x + 5 = 6 The constant terms are any terms that aren't attached to a variable. In this case, you have 5 on the left side and 6 on the right side. You want to move 6 over to the left, so you'll have to subtract 6 from both sides of the equation. That will leave you with 0 on the right side (6-6) and -1 on the left side (5-6). The equation should now read: 3x2 + 4x - 1 = 0. In this case, 3 is the coefficient of the x2 term. To factor out a 3, just pull out a 3, place the remaining terms in parentheses, and divide each term by 3. So, 3x2 3 = x2, 4x 3 = 4/3x, and 1 3 = 1/3. The equation should now read: 3(x2 + 4/3x - 1/3) = 0. This means that you can get rid of that pesky 3 term outside the parentheses for good. Since you divided every term by 3, it can be removed without impacting the equation. Now you have x2 + 4/3x - 1/3 = 0 Next, take the second term, 4/3, also known as the b term, and find half of it. 4/3 2 or 4/3 x 1/2, is 4/6, or 2/3. And 2/3 squared is 4/9. When you're done, you'll have to write it on the left and the right side of the equation, since you're essentially adding a new term. You'll need it on both sides of the equation to keep it balanced. The equation should now read x2 + 4/3 x + 2/32 - 1/3 = 2/32 Move the original constant term, -1/3, over to the right side to make it 1/3. Add it to the term you just placed there, 4/9, or 2/32. Find a common denominator to combine 1/3 and 4/9 by multiplying both the top and bottom of 1/3 by 3. 1/3 x 3/3 = 3/9. Now, add up 3/9 and 4/9 to get 7/9 on the right side of the equation. This yields: x2 + 4/3 x + 2/32 = 4/9 + 1/3 and then x2 + 4/3 x + 2/32 = 7/9. Since you've already used a formula to find the missing term, the hard part is already over. All you have to do is place x and half of the second coefficient in parentheses and square them, like so:(x + 2/3)2. Note that factoring that perfect square will give you the three terms: x2 + 4/3 x + 4/9. The equation should now read: (x + 2/3)2 = 7/9. On the left side of the equation, the square root of (x + 2/3)2 is simply x + 2/3. On the right side, you will get +/- (7)/3. The square root of the denominator, 9, is an even 3, and the square root of 7 is 7. Remember to write +/- because a square root can be positive or negative. To isolate the variable x, just move the constant term 2/3 over to the right side of the equation. You now have two possible answers for x: (7)/3 - 2/3. These are your two answers. You can leave it at that or find the actual square root of 7 if you need to give an answer without the radical sign.
Question: What is a summary of what this article is about?
Write down the problem. Combine the constant terms and put them on the left side of the equation. Factor out the coefficient of the squared term. Divide by the constant you just factored out. Halve the second term and square it. Move the original constant term to the right side of the equation and add it to the term on that side. Write the left side of the equation as a perfect square. Take the square root of both sides. Isolate the variable.
Article: Check your shipping confirmation to find the unique tracking number assigned to your order. It should be clearly displayed somewhere in the body of the email. Once you know your tracking number, getting shipping updates is a breeze. It may be a good idea to jot down your tracking number on a separate piece of paper in case you lose the original email confirmation. At the top of your shipping confirmation or receipt, you should see the name of the delivery service used by the seller. Enter the URL of the company's website into your browser, or try clicking the link in the logo to be redirected immediately. All the shipping-related actions can be managed online. If you're not sure how to get to the company's website, run a quick search for them by name. They should be the first link that pops up. On certain search engines, like Google, it's even possible to enter your tracking number directly under the company's link in the search results! In the US, FedEx, UPS, and the United States Postal Service are the most common delivery services used to ship packages commercially. If it's your first time on the shipping company's website, you may be prompted to specify where you are. Select your continent, then scroll down the list until you find your home country. Clicking your country of origin will take you to the main page, where you can view your tracking history, change your delivery options, or ask a question about your order. You'll also be able to choose your preferred language if more than one is spoken where you live. Most of the major delivery services handle shipments all over the world, so you should have no problem tracking a shipment no matter where you're located. From the main page, look for a place where you can go to input your tracking information. In most cases, this will be a link or search bar near the top of the page. The FedEx website, for instance, has a dropdown tab labelled "Tracking" that allows customers to provide a tracking number without having to navigate elsewhere on the site. On the UPS website, a tracking form appears in the "Quick Start" menu as soon as you pull up the main page. Enter your tracking number exactly as it appears in the shipping confirmation, with no dashes or spaces. You can also copy and paste it directly from the email to save time. You'll then be shown your package's shipping status, as well as its current location and expected delivery date. It's that simple! On most websites, it's possible to look up 20-30 tracking numbers at once. If no results are produced or you get an error message, double check that the number you provided was correct.
Question: What is a summary of what this article is about?
Identify your tracking number in your email or product receipt. Visit the website of the shipping company handling your order. Put in your location. Find the "Tracking" option. Plug your tracking number into the search bar.