LibreOffice-Suite-Math/C2/Using-Greek-characters-Brackets-Steps-to-Solve-Quadratic-Equation/English-timed

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Time Narration
00:00 Welcome to the Spoken tutorial on LibreOffice Math.
00:04 In this tutorial, we will cover the following topics:
00:08 Using Greek characters like alpha, beta, theta and pi.
00:15 Using Brackets. * Writing steps to solve a quadratic equation.
00:21 Let us learn how to write Greek characters using Math.
00:26 For this, let us first open the example Writer document that we created in the last tutorial i.e. "MathExample1.odt".
00:41 Double-click on the Gray-box that has the formulae we wrote.
00:47 This brings up the Math Formula Editor and the Elements window.
00:54 Let us click on the Formula Editor border and drag and drop to the right to make it float.
01:02 This maximizes the Writer window for better visibility.
01:07 Now, Greek characters- for example: alpha, beta, theta and pi are common in mathematical formulae.
01:16 But, we won’t find these characters in the Elements window.
01:21 We can write them directly by using the percentage sign followed by the name of the character in English.
01:30 For example- to write pi, we simply type "%pi" in the Formula Editor.
01:40 To write a lowercase character, type the name of the character in lowercase.
01:47 For example- to write alpha in lower case, type "%alpha" or "%beta".
01:59 To write an uppercase character, type the name of the character in uppercase.
02:06 For example- to write gamma in upper case, type "%GAMMA" or "%THETA".
02:17 Another way to enter Greek characters is by using the Catalog from the Tools menu.
02:26 Under the Symbol set, select Greek
02:31 and double-click on a Greek letter from the list.
02:35 Notice the mark up for the Greek letter as alpha which is displayed below the list.
02:43 So, this is how we can introduce Greek characters in a formula.
02:49 Explore the Symbols Catalog to know the mark up for other Greek characters.
02:56 Let us now learn how to use Brackets in our formulae.
03:02 'Math' does not know about order of operation in a formula.
03:07 So, we have to use brackets to state the order of operation.
03:13 For example, how do we write: First add x and y, then divide 5 by the result?
03:22 We can type: "5 over x + y".
03:28 Now, is this really what we wanted to write?
03:32 No. We want to add x and y first and we can do this by introducing curly brackets around x and y.
03:44 And the mark up looks like: 5 over x+y in curly brackets.
03:52 So, using brackets can help set the order of operation in a formula.
03:58 Let us save our work by using the File menu at the top and choosing Save.
04:08 Let us now write the steps to solve a quadratic equation.
04:13 We will go to new page in the Writer document by pressing Control + Enter.
04:21 Let us type: "Solving a Quadratic Equation"
04:25 and call Math from the Insert > Object > Formula menu.
04:33 I have already typed the quadratic equations. I will cut and paste them so as to save time.
04:42 So, here is the quadratic equation we will solve: x squared - 7 x + 3 = 0
04:53 To solve it, we can use the quadratic formula shown on the screen.
04:59 Here, ‘a’ is the coefficient of the 'x' squared term, ‘b’ is the coefficient of the 'x' term and ‘c’ is the constant.
05:11 And we can solve the equation by substituting 1 for a, -7 for b, and 3 for c, in the formula.
05:23 So, first let us write the mark up for the quadratic equation that we want to solve.
05:30 First, we will call Math from the Insert > Object > Formula menu.
05:39 In the Format Editor window, let us type the mark up as follows:
05:46 x squared minus 7 x plus 3 = 0.
05:53 Let us write two newlines for entering blank lines for better readability.
06:01 Press Enter and type: "Quadratic Formula:". Press Enter.
06:07 It is always a good practice to break down a complex formula by starting with the inner most elements of the formula, first.
06:16 And then we can work our way around these elements.
06:21 So, we will first write the inner most square root function.
06:27 And the mark up is square root of b squared - 4ac in curly brackets.
06:37 Next, we will add the minus b plus or minus to the above expression and put them inside curly brackets.
06:48 We will make the above expression a numerator by adding another set of curly brackets
06:57 and add ‘over 2a’ to the expression.
07:02 And, finally add x equals to the beginning
07:08 with two long gaps surrounding the equal to symbol.
07:13 And, there is the quadratic formula.
07:16 This is how we can break down complex formulae and build them part by part.
07:22 Next, let us type the rest of the text as follows in the Formula Editor window
07:29 Where ‘a’ is the coefficient of the 'x' squared term, 'b' is the coefficient of the 'x' term, 'c' is the constant followed by a newline.
07:43 And type: "We can solve the equation by substituting 1 for a, -7 for b, 3 for c’ followed by two newlines.
07:59 So, the mark up after the substitution is as shown on the screen.
08:05 So, we have substituted the numbers using parentheses in the equation.
08:12 Okay, here is an assignment for you:
08:15 Complete the remaining steps for solving the quadratic equation.
08:20 Display the two results separately.
08:23 Format the steps by changing alignments and spacing.
08:28 Add long gaps and newlines wherever necessary.
08:33 Write the following formula: pi is similar or equal to 3.14159.
08:43 This brings us to the end of this tutorial on Greek Characters, Brackets and Equations in LibreOffice Math.
08:52 To summarize, we learned the following topics:
08:56 Using Greek characters like alpha, beta, theta and pi.
09:01 Using Brackets * Writing steps to solve a Quadratic Equation.
09:07 Spoken Tutorial project is a part of the Talk to a Teacher project,
09:12 supported by the National Mission on Education through ICT, MHRD, Government of India.
09:19 This project is coordinated by http://spoken-tutorial.org.
09:24 More information on the same is available at the following link.
09:29 This script has been contributed by Priya Suresh, DesiCrew Solutions. And this is Soundharya, DesiCrew Solutions, signing off.

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Minal, PoojaMoolya, Pratik kamble, Sandhya.np14