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THE LEARNING STUDIO · MATHS, MADE CLEAR

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Standard 10Mathematics

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Standards 1–12 books522 working toolsNo account needed
STANDARD 9 PRACTICE0 / 15 topics

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India · Standard 10View curriculum reference
STANDARD 10 · FORMULA TO ANSWER

Quadratic equations

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Mathematics

Quadratic equation · real roots

Calculate quadratic equation · real roots and see the working behind your result.

Inputs

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RESULT
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Formula & explanation
x = (−b ± √(b²−4ac))/(2a)

Variables & units

Coefficient of x²
Numeric value · minimum -1000000, maximum 1000000
Coefficient of x
Numeric value · minimum -1000000, maximum 1000000
Constant
Numeric value · minimum -1000000, maximum 1000000

Worked example

x²−5x+6=0 has roots 2 and 3.

Assumptions

Numerical evaluation uses an equivalent stable root formula. Repeated roots are displayed twice.

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

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NCERT/CBSE references. Topic selections are curated practice; board, edition and year requirements vary. These are suggested topic collections, including related practice and enrichment; they are not exhaustive syllabus mappings, university endorsements, or complete exercise solutions. All public calculators stay available to every learner.

Books and source materials
Clear sources. Original explanations.

Source review: 2026-11-02. Book titles follow the NCERT publication list. Class 9 topic alignment uses the CBSE 2026–27 curriculum. Publisher sites can update editions and may occasionally be unavailable.