5n^2-41n+42 (factoring)

The general equation for obtaining the factors of a quadratic equation is shown below,

x = ((-b + / - √ (b² - 4ac)) / 2a

and from the given, a is 5, b is - 41 and c is 42. Substituting this to the equation,

x1 = ((41 + √ ((-41) ² - 4 (5) (42)) / 2 (5) = 7

and

x2 = ((41 - √ ((-41) ² - 4 (5) (42)) / 2 (5) = 1.2

Thus, the factors are,

(n - 7) (n + 1.2)