Question

Find the roots. List the correct steps

f(n) = n^2 − 6n − 16

Answer 1

n_1 = 8

n_2 = -2

Explanation:

D = b^2 - 4ac (where f(x) = ax^2 + bx + c)

D = -6^2 - 4*1*-16

D = 36 + 64 = 100

n_1,n_2 = (-b +-sqrt(D))/(2a)

n_1,n_2 = (-(-6) +-sqrt(100))/(2*1)

n_1,n_2 = (6 +- 10)/2

n_1 = (6 + 10)/2 -> 16/2 = 8

n_2 = (6 - 10)/2 -> -4/2 = -2