Quadratic Equations — Class 10 Maharashtra SSC Mathematics revision notes
A 5-page visual revision sheet for Quadratic Equations, written for Class 10 Maharashtra SSC Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Quadratic Equations sheet covers
- Is it quadratic?
- Does it factorise?
- Otherwise
- Quadratic equation
- Standard form
- Standard form, and why it comes first
- Factorisation method
- Splitting the middle term
- Solving by factorisation
- Splitting the middle term in full
- Completing the square
- Quadratic formula
- Completing the square, and where the formula comes from
- The three results worth memorising
- the roots of ax^2 + bx + c = 0
- the discriminant, written as capital delta
- sum of the roots
- product of the roots
- rebuilding an equation from its roots
- Reading the sum and product straight off
- Nature of roots
- Discriminant
- What the discriminant tells you before you solve
- Δ > 0
- Δ = 0
- Δ < 0
- Why it works
- Finding an unknown from the nature of the roots
- Application of quadratic equations
- Word problems
- Word problems, and the step that is actually marked
- Rejecting a root, which the marking scheme expects to see
- A full word problem, framing to rejection
- Choosing a method under time pressure
- Factorisation
- The formula
- Symbols in this chapter
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Quadratic Equations the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.