Question

If `|(x, 2),(18, x)| = |(6,2),(18,6)|`, then x is equal to ______.

Options

• 6

• ±6

• −6

• 0

Answer 1

If `|(x, 2),(18, x)| = |(6,2),(18,6)|`, then x is equal to ±6.

Explanation:

`|(x, 2),(18, x)| = |(6,2),(18,6)|`

x × x − 2 × 18 = 6 × 6 − 2 × 18

x² − 36 = 36 − 36

x² − 36 = 0

x² = 36

x = ±6