Quadratic Equations
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Quadratic Equations and Factorisation
Part of: Quadratic Equations and Factorisation
A quadratic equation can be written ax² + bx + c = 0 with a nonzero. When its left side factors, setting each factor to zero gives the roots.
Why it matters. Quadratic models can solve problems with areas, products and changing quantities.
Try it in two minutes
- Write the information as an equation.
- Put it in quadratic form and solve or inspect its discriminant.
- Keep only roots that fit the situation.
Try at home. Choose a rectangle with a known area and express its length using its width, then write the area equation.
Discriminant and Nature of Roots
Part of: Discriminant and Nature of Roots
For ax² + bx + c = 0, the discriminant b² − 4ac determines whether there are two distinct real roots, equal real roots, or no real roots.
Why it matters. Quadratic models can solve problems with areas, products and changing quantities.
Try it in two minutes
- Write the information as an equation.
- Put it in quadratic form and solve or inspect its discriminant.
- Keep only roots that fit the situation.
Try at home. Choose a rectangle with a known area and express its length using its width, then write the area equation.
Using Quadratics in Situations
Part of: Using Quadratics in Situations
Quadratic equations model contexts involving products such as areas, distances, and quantities. Interpret roots using the restrictions of the situation, such as a length being positive.
Why it matters. Quadratic models can solve problems with areas, products and changing quantities.
Try it in two minutes
- Write the information as an equation.
- Put it in quadratic form and solve or inspect its discriminant.
- Keep only roots that fit the situation.
Try at home. Choose a rectangle with a known area and express its length using its width, then write the area equation.
What your child will practise
- Discriminant and Nature of Roots: Candy Quick Fire (Quick Fire)
- Discriminant and Nature of Roots: Mission Control Quest (Collect the Answer)
- Discriminant and Nature of Roots: Ocean Puzzle (Clue Puzzle)
- Quadratic Equations and Factorisation: Number Quest (Match It Up)
- Using Quadratics in Situations: Space Quick Fire (Quick Fire)
- Quiz: Discriminant and Nature of Roots (8 questions)
- Quiz: Quadratic Equations and Factorisation (8 questions)
- Quiz: Using Quadratics in Situations (8 questions)