Difference between revisions of "LibreOffice-Suite-Math-6.3/C2/Greek-characters-and-Quadratic-equations/English"

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|| '''We` can` solve` the '''equation'''` by` substituting` 2 `for `a,` -7` for` b,` 3` for` c newline newline'''.
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Latest revision as of 16:29, 1 September 2022

Title: Greek characters and Quadratic Equations.

Keywords: Libreoffice math, libreoffice writer, greek characters, percentage sign, markup, font size, alignment, quadratic equation, spoken tutorial, video tutorial.

Visual Cue Narration
Slide:Title Welcome to the Spoken tutorial on Greek Characters and Quadratic Equations.
Slide:

Learning Objectives

In this tutorial, we will learn to:
  • Insert Greek characters.
  • Write steps to solve a quadratic equation.
Slide:

System Requirements


This tutorial is recorded using,
  • Ubuntu Linux OS version 18.04 and
  • LibreOffice Suite version 6.3.5.
Slide:

Prerequisites

https://spoken-tutorial.org

To follow this tutorial, learner should be familiar with Math interface.


If not please access the relevant tutorials on this website.

Slide:

Code Files

  • The files used in this tutorial are provided in the Code files link.
  • Please download and extract the files.
  • Make a copy and use them for practising.
Open the MathExample1.odt Let us first open the MathExample1.odt file.
Double click on the gray box.


Math Formula Editor and the Elements window opens up.

Double-click the gray box in the Writer window.


This brings up the Math interface.

Only narration Let us learn how to write Greek characters using Math.

Greek characters like alpha, beta and others are common in mathematical formulae.

Point towards the Elements window.


Click and show the Element Categories drop-down.


In the Formula editor window (FEW in short) type: %pi newline

We don’t find these characters in the Elements window.


To write them, we use a percentage sign, followed by the name in English.


For example, to write pi, we type %pi in the Formula editor.


In FEW, press Enter, type %alpha newline `%beta newline To write lowercase characters, type the name of the characters in lowercase.


To write alpha in lowercase, type %alpha and to write beta type %beta.

In FEW, press Enter, type %GAMMA .

%THETA newline.

To write uppercase characters, type the name of the characters in uppercase.


To write gamma in uppercase, type %GAMMA and to write theta type %THETA.

Click on Tools menu on top, click Symbols. There is yet another way to enter Greek characters.


Click on the Tools menu and select the Symbols option.

Point to the Symbols dialog box.

Select Greek under Symbols.


Symbols dialog box appears.


Under the Symbol set, select Greek if not already selected.

Click on the Greek letter alpha from the list.

Point towards the name of the letter.


Point to the Preview.

Click on Greek letter alpha in the box.

The name of the selected letter is shown below the box.


Its preview is shown on the right.

Click on the Insert button in the Symbols dialog box to insert the symbol.


Now click the Insert button in the Symbols dialog box to insert the symbol.
Click on the Greek letter from the box.


Click on the Insert button in the Symbols dialog box to insert the symbol.

Similarly, insert other Greek letters given in the box.
Click on the Close button. Let’s close the Symbols dialog box, by clicking on the Close button.
Point to the markup for the Greek letters in the Formula editor. Notice that the markup for the Greek letters is shown in the Formula editor.
Point towards symbols icon

Close the Symbols dialog box, by clicking on the Close button.

We can also insert Greek letters using the Symbols icon on the Standard toolbar.
Click Save on the standard toolbar. Let us save the file now.
Slide:

Assignment

Pause the video and do this assignment.
  • Open the Math-assignment.odt file.
  • Write the markup for this formula:

pi is similar or equal to 3.1415.

  • Using the Symbols dialog box insert various Greek and special characters.
Click anywhere in the Writer area.


Press Ctrl + Enter on the keyboard.

Let us now write the steps to solve a quadratic equation.


We will go to a new page in the Writer document.


Click anywhere in the Writer area and press Ctrl and Enter keys on the keyboard.

Type: Solving a Quadratic Equation and press Enter twice.


Type the equation 2x2 - 7x+3=0

Show the text editor with the equations.

Added the Quadratic-Equation.txt in Code Files for copying-pasting the equations.

Let us type: Solving a Quadratic Equation:.


Here is the quadratic equation that we will solve, 2 x squared - 7 x + 3 = 0.


I have already typed the required expressions in a text editor.


I will copy and paste them to save time.

Click Insert >> Select Object

>> Submenu >> Select Formula.


We will now call Math application.


Click on Insert menu and select Object.

From the submenu select Formula option.

Point to the equation. Let’s write the markup for the quadratic equation that we want to solve.
Click on Format menu >> Select Font Size.

In the Font sizes dialog box >>

Change the Base size to 16 pt >> click OK button.

Let us change the font size to 16 point.


Click on Format menu >> Select Alignment.

Under Horizontal click Centered option.

Click OK button

Let us change the alignment to Centered.
In FEW, type:

2x ^ 2 - 7 x + 3 = 0


Type: newline .


In the Formula editor, type the markup as follows: 2 x squared minus 7 x plus 3 = 0.


Press Enter and type:

Quadratic Formula: newline

Press Enter.

Press Enter and type Quadratic Formula:.


Only narration It is a good practice to break a complex formula into simple elements.


Let’s start with the innermost elements of the formula.

Type:

sqrt{b^2 – 4ac} newline newline.

First we will write the innermost square root function.


The markup for that is square root of b squared - 4ac in curly brackets.

Type { -b +- before the above equation and } at the end. Next, let us add minus b plus or minus to the expression.

Then put the expression within curly brackets.

Type { before the above equation, and } at the end.


Type at the end: over{ 2a}.


Type x = at the beginning of line.


Let us add another set of curly brackets to make the expression a numerator.


Add over and 2a within curly brackets to the expression.


Finally, add x equal to at the beginning of the line.

Type ~ before and after = sign.

~ = ~

Point mouse over FEW,

~ symbol next to ‘x’.

Add blank spaces surrounding the equal to sign.
In FEW, type:

newline newline Where ‘a’ is` the` coefficient` of` the` x^2 term,

~b `is `the ` coefficient` of` the` x` term,

` c~ is `a` constant` newline newline


Point to the back quotes.

Next let us type the rest of the text as follows in the Formula editor.


Where ‘a’ is the coefficient of the x squared term.

‘b’ is the coefficient of the x term.

‘c’ is a constant followed by a newline.


I have added back quotes to create a small gap between the words for clarity.

We` can` solve` the equation` by` substituting` 2 `for `a,` -7` for` b,` 3` for` c newline newline. Now type the following line.


This line shows the substitution of values in the expression.

Press Enter twice and type

x~=~ {{ -(-7)+-sqrt{(-7)^2 - 4(2)(3)}}} over {2(2)} newline newline


Point to the parentheses.


The markup after the substituting the values is as shown.


Here we have substituted the numbers using parentheses in the equation.

Point to the quadratic equation. Now let’s solve the quadratic equation to get the values of x.

x~=~ {{7+-sqrt{(49- 24)}}} over 4 newline newline


x~=~ {{7+-sqrt{(25)}}} over 4 newline newline


x~=~ {{7+5}} over 4 newline newline


x~=~ {{7+5}} over 4, ~ ~ x~=~ {{7-5}} over 4 newline newline


x~=~ {{12}} over 4, ~ ~ x~=~ {{2}} over 4 newline newline


Type the following lines to show the values of x.


In these lines I have completed the calculation to show the values of x.

x~=~ 3, ~ ~ x~=~ 0.5 newline newline Here are the values of x.
Ctrl + S Let us save the changes.
Narration only: With this, we come to the end of this tutorial.


Let us summarize.

Slide: Summary In this tutorial, we have learnt to:
  • Insert Greek characters.
  • Write steps to solve a quadratic equation.
Slide: Assignment


3x2 -5x +2=0


Highlight the equation.

Here is an assignment for you:

Open Math-assignment.odt file.

  • Write steps to solve this quadratic equation
  • Format the steps by changing the alignment and spacing.
  • Add blank spaces and newlines as required.
Slide:

About Spoken Tutorial Project

  • The video at the following link summarises the Spoken Tutorial project
  • Please download and watch it


Slide:

Spoken tutorial workshops

  • We conduct workshops using spoken tutorials and give certificates
  • For more details, please contact us.
Slide:

Answers for THIS Spoken Tutorial

Please post your Timed queries in this forum.
Slide:

Acknowledgement

The Spoken Tutorial project is funded by the Ministry of Education, Govt. of India.
Slide:

Thank you

Acknowledgement to DesiCrew

This tutorial was originally contributed by DesiCrew Solutions Pvt. Ltd. in 2011.

This is Madhuri Ganapathi along with the Spoken Tutorial team from IIT Bombay.

Thank you for watching.

Contributors and Content Editors

Madhurig, Nancyvarkey, Nirmala Venkat

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