Question

ALGEBRA II 10 POINTS

The product of three consecutive integers is n- 1, n, n +1 =210

Find the value of n the middle number. Put your answer in the form [X].

Answer 1

6

Explanation:

(n- 1)(n)( n +1)=210

n(n²-1)=210

n³-n= 210

n³-n-210=0

let n = 6 => 6³-6-210 = 216-6-210 = 0 (true)

so, n = 6