Chapter 4: Quadratic Equations

Example 4. Solve:

Solution:

1/(x + 1) + 1/(x + 2) = 1/(x + 4)

Or, (x + 2) +( x + 1) / (x+ 1) (x + 2) = 1/(x + 4)

(2x + 3)/x2 + x + 2x + 2 = 1/(x + 4)

Or, (2x + 3) (x + 4) = x2 + 3x + 2

Or, 2x2 + 8x + 3x + 12 = x2 + 3x + 2

Or, x2 + 8x + 10 = 0

Here a = 1, b = 6, c = 8

D = b2 - 4ac = 8 2 - 4 X 1 X 10

= 64 - 40

= 24

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Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 1 Linear Equations in Two Variables
Chapter 2 HCF and LCM
Chapter 3 Rational Expression
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Instalments
Chapter 7 Income Tax
Chapter 8 Similar Triangles