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MGMP Matematika

SMPK PENABUR Jakarta

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PowerPoint Presentation

QUADRATIC

EQUATION (QE)

PART 1

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Basic Competencies

MGMP Matematika

SMPK PENABUR Jakarta

3.2 Explain quadratic equation and their characteristics based on their roots and how to solve them

4.2 Solve problem related to quadratic equation

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CONCEPT MAPS

QUADRATIC EQUATION

Determine the roots of the equation

Constructing a quadratic equation

Factoring

Perfect square

ABC Formula

Application

MGMP Matematika

SMPK PENABUR Jakarta

Use Factor

The sum and product of the roots

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GENERAL FORM

MGMP Matematika

SMPK PENABUR Jakarta

Each equation above has one variable

and has the highest degree is two.

Notice the following examples !

 

 

 

 

The equations are called quadratic equation

 

 

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General Form

MGMP Matematika

SMPK PENABUR Jakarta

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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EXPLORATION

How to find the value of x ?

 

 

 

 

 

 

 

 

Find another solution !

 

 

 

Find another solution !

 

 

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Determine the roots of QE

Factoring

Perfect Square

ABC Formula

MGMP Matematika

SMPK PENABUR Jakarta

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Factoring Rules

Distributif

a2 – b2

ax2 + bx + c = 0 ; a = 1

 

 

 

 

 

MGMP Matematika

SMPK PENABUR Jakarta

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FACTORING

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FACTORING

MGMP Matematika

SMPK PENABUR Jakarta

Example (1) Distributive Factoring

 

 

 

 

 

 

 

Trial (1) Distributive Factoring

 

 

 

 

 

 

 

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FACTORING

MGMP Matematika

SMPK PENABUR Jakarta

Example (2) Factoring a2 – b2

 

 

 

 

 

 

 

Trial (2) Factoring a2 – b2

 

 

 

 

 

 

 

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FACTORING

MGMP Matematika

SMPK PENABUR Jakarta

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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FACTORING

MGMP Matematika

SMPK PENABUR Jakarta

 

 

 

 

 

Requirement :

 

 

 

 

 

 

 

 

 

 

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FACTORING

MGMP Matematika

SMPK PENABUR Jakarta

 

 

 

 

 

Requirement :

 

 

 

 

 

 

 

 

 

 

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THANK YOU

MGMP Matematika SMPK PENABUR Jakarta