Class 10 / Maths
Class 10 Maths Quadratic Equations Worksheet
Practice solving quadratic equations by factorization and checking roots.
advanced40 minutesAnswer key included
Learning objective
Practise standard form, factorisation, root checking, and forming quadratic equations from roots.
Questions
- Solve: x^2 - 5x + 6 = 0.
- Find the roots of x^2 + 7x + 10 = 0.
- Check whether x = 3 is a root of x^2 - 4x + 3.
- Form a quadratic equation with roots 2 and 5.
- Solve by factorization: 2x^2 - 7x + 3 = 0.
Answer key
Show suggested answers
- x^2 - 5x + 6 = (x - 2)(x - 3), so x = 2, 3.
- x^2 + 7x + 10 = (x + 5)(x + 2), so x = -5, -2.
- Substitute x = 3: 9 - 12 + 3 = 0, so x = 3 is a root.
- Equation with roots 2 and 5: (x - 2)(x - 5) = 0, so x^2 - 7x + 10 = 0.
- 2x^2 - 7x + 3 = (2x - 1)(x - 3), so x = 1/2, 3.
How to use this worksheet
Students can solve the questions independently first, then review errors with a parent or teacher. Teachers can use it as a short class activity, homework sheet, or revision check.
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