Solve x² - 4x - 9 = 29 for x.

Solution:

Given x² - 4x - 9 = 29

x² - 4x - 9 - 29 = 0

x² - 4x - 38 = 0

Here we use quadratic formula for finding roots of the equation

x = {-b ± √b² - 4ac}/2a

Here a = 1; b = -4; c = -38

x = {-(-4) ± √(-4)² - 4(-38)} / 2(1)

x = [4 ± √16 + 152] /2

x = [4 ± √168] /2

x = [4 ± 12.96] /2

x = 8.48, -4.48

The solutions are 8.48, -4.48

Solve x² - 4x - 9 = 29 for x.

Summary:

By solving x² - 4x - 9 = 29 for x, we get solutions as 8.48, -4.48