mathematics

Parin Sir > mathematics

Jul

(11) Find the set of values of k for which 2x² + 20x + k can be factorized into real linear factors.

Soln. 2x² + 20x + k will be factorizable only when D $\... </p> <div class=$

Posted in: Examples 11 and 12,

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Jul

Examples 7 to 9

(7) Find the values of m for which 16x² + mx + 9 = 0 has both equal roots.

Soln. For equal roots, we must have

D = 0.

$\therefore$

Posted in: Examples 7 to 9,

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Jul

Examples 4 to 6

(4) Discuss the nature of the roots of the following equations :

(i) 4x² + 15x – 25 = 0

(ii) 4x² – 12x + 1 = 0

(iii) 9x² + 6x + 1 = …

Posted in: Examples 4 to 6,

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22

Jul

Examples 1 to 3
Examples :

(1) Solve the equations :

(i) 3x² + 5x + 2 = 0

(ii) 3x² – 5x + 2 = 0

(iii) 3x² + 5x – 2 = 0

Posted in: Examples 1 to 3,

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22

Jul

To form a Quadratic Equation
☼ To form a Quadratic Equation :– A quadratic equation whose roots are $\alpha$ ₁ and $\beta$

Posted in: To form a Quadratic Equation,

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22

Jul

Some important expressions
☼ Some important expressions :– We know that,

$\alpha + \beta = - \frac{b}{a}$

Posted in: Some important expressions,

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22

Jul

Methods to solve Quadratic Equation
☼ Methods to solve Quadratic Equation :   There are three different methods to solve the quadratic equation.

(i) Method of Factorization

  e.g. Solve : 4 x² – …

Posted in: Methods to solve Quadratic Equation,

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22

Jul

Types of roots of a Quadratic Equation
☼ Types of roots of a Quadratic Equation :   There are four different types of roots associated with a Quadratic Equation.

(i) Rational and Distinct

e.g. Solve : 3 x² +…

Posted in: Types of roots of a Quadratic Equation,

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19

Jul

Quadratic Equation
…

Posted in: Quadratic Equation,

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19

Jul

Index

Polynomial

Equation

Simple Equations

…

Posted in: Index,

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