Constructing Quadratic Equations from Given Roots

 67692 2026-09-24 Equations and Identities

No. 1  In DSE Mathematics, you are often asked to solve quadratic equations and use their roots. But what about the reverse operation — constructing a quadratic equat . . . . .

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An Exercise on Quadratic Root Properties: Sign Determination & Range Problems

 76799 2026-09-23 Exercise

No. 2  Beyond simply solving quadratic equations, DSE Paper 1 Section B and Paper 2 MC often require you to determine the signs of the roots (both positive, both negat . . . . .

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Quadratic Root Properties: Sign Determination & Range Problems

 76799 2026-09-22 Equations and Identities

No. 3  Beyond simply solving quadratic equations, DSE Paper 1 Section B and Paper 2 MC often require you to determine the signs of the roots (both positive, both negat . . . . .

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An Exercise on Quadratic Equation Word Problems: Area, Sequences & Physics Situations

 79562 2026-09-21 Exercise

No. 4  Word problems involving quadratic equations are a staple of DSE Paper 1 Section A(2) and B. This article focuses on three classic types: area problems, number a . . . . .

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Quadratic Equation Word Problems: Area, Sequences & Physics Situations

 79562 2026-09-20 Equations and Identities

No. 5  Word problems involving quadratic equations are a staple of DSE Paper 1 Section A(2) and B. This article focuses on three classic types: area problems, number a . . . . .

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An Exercise on Discriminant – Complete Interpretation

 99799 2026-09-19 Exercise

No. 6  The discriminant is a powerful tool that tells you the nature of the roots of a quadratic equation without actually solving it. There are three cases: (two d . . . . .

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Discriminant – Complete Interpretation

 99799 2026-09-18 Equations and Identities

No. 7  The discriminant is a powerful tool that tells you the nature of the roots of a quadratic equation without actually solving it. There are three cases: (two d . . . . .

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An Exercise on "Sum of Roots" & "Product of Roots" Theorems

 39366 2026-09-17 Exercise

No. 8  For a quadratic equation with roots and , the sum of roots is and the product of roots is . These are known as Vieta's formulas. They allow you to evaluate ex . . . . .

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"Sum of Roots" & "Product of Roots" Theorems

 39366 2026-09-16 Equations and Identities

No. 9  For a quadratic equation with roots and , the sum of roots is and the product of roots is . These are known as Vieta's formulas. They allow you to evaluate ex . . . . .

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An Exercise on Quadratic Formula – Application & Memory Tricks

 39992 2026-09-15 Exercise

No. 10  The quadratic formula is a universal method for solving quadratic equations of the form . It works when factorization is difficult or impossible. In DSE Paper 1 . . . . .

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