Solve 3x² - 18x + 5 = 47 for x.

Solution:

Given quadratic equation 3x² - 18x + 5 = 47

3x² - 18x + 5 - 47 = 0

3x² - 18x - 42 = 0

Here we use quadratic formula for finding roots of the equation

x = {-b ± √b² - 4ac}/2a

Here a = 3; b = -18; c = -42

x = {-(-18) ± √(-18)² - 4(3)(-42)} /2(3)

x = {18 ± √324 + 504 } /6

x = 18 ± √828 /6

x = 18 ± 28.7 /6

x = 7.78, -1.78

Solve 3x² - 18x + 5 = 47 for x.

Summary:

By solving 3x² - 18x + 5 = 47 for x, we get the solutions as 7.78, -1.78