definition

Parin Sir > definition

Jul

☼ Rational Expression : An expression of the form $\frac{p(x)}{q(x)}$ , where p(x) and q(x) are a polynomials and q(x)

Posted in: Rational Expression,

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Jul

Rational Expression

☼ Degree and Coefficient : The highest index of the given polynomial is called the degree of the polynomial and the coefficient of highest index term is called the coefficient of the given polynomial.

e.g….

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Jul

Index

1. Methods to solve Quadratic Equation

2. Types of roots of a Quadratic Equation

Posted in: Index of Quadratic Equation,

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Jul

Examples 11 and 12

(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 $\... </p> <div class=$

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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.

$\therefore$

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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 = …

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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

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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 $\beta$

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22

Jul

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

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

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