Topics
Linear Equations in Two Variables
Quadratic Equations
- Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
- Formation of a Quadratic Equation with Given Roots
- Application of Quadratic Equation
Arithmetic Progression
Financial Planning
- Mathematical Study of GST (Goods and Services Tax)
- GST Structure for Calculations
- Tax Invoice Under GST(Mathematics)
- GST in Trading Chain
- Input Tax Credit (ITC) in Mathematics
- Computational Mechanisms under GST
- Saving and Investment
- Shares
- Brokerage and Taxes on Share Trading
- Mutual Funds and Systematic Investment Plan
Probability
Statistics
Maharashtra State Board: Class 10
Key Points: Completing the Square
The completing the square method is used when a quadratic equation cannot be factorised easily.
- First, write the equation in standard form.
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If a ≠ 1, divide the entire equation by a.
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Add and subtract \[\left(\frac{b}{2}\right)^2\] to complete the square.
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Convert the left-hand side into a perfect square.
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Solve the resulting equation to find the roots.
