Question

The solution of the equation x² − 6x − 7 = 0, x ∈ N is/are ______.

Options

• 7

• −1

• 7, −1

• 1, −7

Answer 1

The solution of the equation x² − 6x − 7 = 0, x ∈ N is/are 7.

Explanation:

Given:

x² − 6x − 7 = 0

x² − 6x − 7

= (x − 7) (x + 1) = 0

x = 7 or x = −1

Since x ∈ N (natural numbers), we reject −1.

= 7