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

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. Thanks for joining.

Contributors and Content Editors

Minal, PoojaMoolya, Pratik kamble, Sandhya.np14