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Lesson

Completing the Square

Quadratic equations can be solved using four main methods: factorization, completing the square, quadratic formula, and graphing. Factorization works best when the equation neatly breaks into linear factors. Completing the square rewrites the expression into a perfect square form, helping identify the roots systematically. The quadratic formula gives exact solutions for any quadratic, even when factorization is difficult.

40min lesson

Objectives3 goals Lesson9 blocks Review4 assets Practice32 items

Learning objectives

What to understand

3 goals

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Understand completing the square in the Quadratic Equations chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

9 sections

Concept

Completing the Square

This method rewrites the quadratic equation into the form (x + p)² = q, making it easier to take square roots. 💡 Exam Tip: Before choosing a method, check whether the expression factorises easily. If using the formula, write the discriminant clearly to identify the nature of roots. ⚠️ Common Mistake: Students often make sign mistakes while substituting into the quadratic formula or ignore the discriminant completely. 📌 Trigger: Factorise if possible, else formula

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9 lesson sections2 cards / 2 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

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2 notes

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1
Methods of Solving Quadratic Equations
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Completing the Square

Practice

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32 prompts

18 MCQs14 LAQsMixed test

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Quadratic Equations

Topic 4 of 7

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Quadratic Equations
Factorisation Method
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Completing the Square

What to understand

Step-by-step lesson

Completing the Square

Completing the Square example

Determine nature of roots: x² - 6x + 9 = 0

Determine the nature of roots for the equation: x² - 4x + 4 = 0 using discriminant.

Determine the nature of roots using the discriminant.

Methods of Solving Quadratic Equations

Completing the Square

Completing the square

State the important formula related to completing the square

Completing the Square

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Note highlights

Methods of Solving Quadratic Equations

Completing the Square

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Quadratic Equations

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Completing the Square

What to understand

Step-by-step lesson

Completing the Square

Completing the Square example

Determine nature of roots: x² - 6x + 9 = 0

Determine the nature of roots for the equation: x² - 4x + 4 = 0 using discriminant.

Determine the nature of roots using the discriminant.

Methods of Solving Quadratic Equations

Completing the Square

Completing the square

State the important formula related to completing the square

Completing the Square

Choose your next activity

Note highlights

Methods of Solving Quadratic Equations

Completing the Square

Check this topic

Quadratic Equations

Mark this topic complete

Around this topic