nature of roots
What nature of roots means in Mathematics A-Level, as defined for WJEC.
Definition of nature of roots
Check what you remember
Read the wording for your board, then hide it and explain nature of roots in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: WJEC
Determined by the discriminant: if Δ > 0 there are two distinct real roots, if Δ = 0 one repeated real root, and if Δ < 0 no real roots.
Topics that use nature of roots
- Algebra and Functions (AS Unit 1: Pure Mathematics A) (WJEC A-Level)
Related terms
- algebraic division
- Asymptotes
- boundary curves
- Completing the square
- conjunction
- critical values
- curve sketching
- dashed and solid lines
Using nature of roots in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
A week of Premium from your first lesson · Then the free plan continues · No card, no charge