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Class 10 Maths: Quadratic Equations Formulas (PDF) — All Important Formulas Free

Free class 10 maths: quadratic equations formulas — all 7 key formulas on one page, downloadable as PDF for fast revision before CBSE board exams. No signup.

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TL;DR: Free class 10 maths: quadratic equations formulas — all 7 key formulas on one page, downloadable as PDF for fast revision before CBSE board exams. No…

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Jun 25, 2026

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All Quadratic Equations formulas for Class 10 Maths (CBSE / NCERT) on one page — fast revision for board exams. 100% free, no login, download as PDF.

Quadratic Equations — Key Formulas

FormulaExpression
Quadratic formulax = (-b ± √(b² - 4ac)) / 2a
Discriminant (Δ)Δ = b² - 4ac; Δ > 0: 2 roots; Δ = 0: 1 root; Δ < 0: no real roots
Nature of rootsΔ = perfect square → rational; Δ < 0 → imaginary
Sum of roots (α + β)α + β = -b/a
Product of roots (αβ)αβ = c/a
Quadratic with given rootsx² - (α+β)x + αβ = 0
Completing the squareax² + bx + c = a(x + b/2a)² - (b²/4a) + c

FAQs

What are the most important Quadratic Equations formulas for Class 10?

This sheet lists all 7 key Quadratic Equations formulas from the Class 10 Maths CBSE/NCERT syllabus, ready for quick revision.

Is this Quadratic Equations formula sheet free to download?

Yes — every Syllab.in formula sheet is 100% free, needs no login, and can be saved as a PDF.

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