Module 4 · Class 10 Olympiad · Formula Sheet

Quadratic Equations Formulas — Class 10 Olympiad

Solve quadratics by factoring, completing the square, and quadratic formula; analyze discriminant and nature of roots.

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Worked Examples

1Using: Linear Equation

Solve 3x + 5 = 20.

Step 1: 3x = 20 - 5 = 15.

Step 2: x = 15 / 3 = 5.

Answer: x = 5

2Using: Algebraic Identity

Expand (a + 3)^2.

Step 1: Using (a + b)^2 = a^2 + 2ab + b^2

Step 2: = a^2 + 6a + 9.

Answer: a^2 + 6a + 9

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Frequently Asked Questions

How many formulas are in Class 10 Olympiad Quadratic Equations?+
There are several key formulas in the Quadratic Equations chapter for Class 10 Olympiad. Each formula is essential for solving problems in this topic.
How to remember Quadratic Equations formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Quadratic Equations formulas enough for exams?+
Yes, these formulas cover the complete Olympiad Class 10 syllabus for Quadratic Equations. Practice applying them to different types of questions for full exam readiness.

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SparkEd Maths provides free formula sheets for Class 1-10 across 7 education boards. All formulas are aligned to the 2025-26 syllabus.