PPT On Linear Equations

Presentation On Linear Equations
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Linear Equations Presentation Transcript:
1.CHAPTER 2: EQUATIONS

2.Solve linear equations
Solve quadratic equations by factoring, quadratic formula or completing the square
Use discriminant to study the nature of the roots
Other types of equation

3.LINEAR EQUATION
The most basic equation in algebra is the linear equation, defined in the next chart, where a and b denote real numbers.

4.Solve the equation

Solution:

5.QUADRATIC EQUATION
To find the solution of the quadratic equations, the following methods can be used
By factoring
By completing the squares
By quadratic formula

6.Factoring
To use the method of factoring, it is essential that only the number 0 appear on one side of the equation. Thus, we proceed as follows:

7.A Special Quadratic Equation

8.Example 3
Solve the equations:
(a)         (b)
 
Solution:

9.Completing the square
To complete the square for         :

10.Solve the quadratic equation by completing the squares

11.None of you can be a perfected believer so long as you do not wish for your brother what you wish for yourself.
     The Prophet Mohammed (may God bless him and grant him peace)

12.Quadratic Formula

13.Discriminant
The number under the radical sign in the quadratic formula is called the discriminant of the quadratic equation.
The discriminant can be used to determine the nature of the roots of the equation, as in the following chart:

14.Example 5 (2 unequal real roots )
Solve the equation by using quadratic formula
Solution:

15.Example 5 (2 equal real roots )