MGMP Matematika
SMPK PENABUR Jakarta
PowerPoint Presentation
QUADRATIC
EQUATION (QE)
PART 1
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
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
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 !
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
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