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