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# SEC 3 E-LEARNING - PowerPoint PPT Presentation

SEC 3 E-LEARNING. ELEMENTARY MATHEMATICS. COMPLETING THE SQUARE. Dear students, All of you will go through a series of lessons using YouTube on how to perform “Completing the Square” method to solve quadratic equation.

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Presentation Transcript

ELEMENTARY MATHEMATICS

COMPLETING THE SQUARE

All of you will go through a series of lessons using YouTube on how to perform “Completing the Square” method to solve quadratic equation.

You will also learn on how to sketch graph using the Completed Square form.

After going through each lesson, you will have to solve and complete some questions. Please copy the questions on foolscap papers and submit the E-Learning work the first day after you come back from the E-Learning days.

Till then, please enjoy the lessons!

Step by Step Completing the Square Part 1 & 2

Introduction of the 5 series of lessons

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Solve the following equations by the completing the square method, giving your answers correct to 3 significant figures when necessary.

(a) x2-4x-8=0

(b) -2x2+12x-3=0

(c) 5x2=2x+12

(d) 15x-4=-4x2

(e) 2x2+3x=4

Sketching quadratic graph using the completed square form

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• Express -2x2 + 3x – 7 in the form of a(x – h)2 + k. Hence, state the maximum value of -2x2 + 3x – 7 and sketch the graph of -2x2 + 3x – 7.

(b)Express 3x2– 6x + 7 in the form of a(x – h)2 + k. Hence, state the extreme value of 3x2– 6x – 9 and sketch the graph of 3x2– 6x + 9.

Derivation of the Quadratic Formulae using completing the square method

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Visual Representation of Completing the Square

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