Question

If `x∈R|(8, 2, x),(2, x, 8),(x, 8, 2)|` = 0, then `|x/2|` is equal to ______.

Options

• 2.00

• 3.00

• 4.00

• 5.00

Answer 1

If `x∈R|(8, 2, x),(2, x, 8),(x, 8, 2)|` = 0, then `|x/2|` is equal to 5.00.

Explanation:

`|(8, 2, x),(2, x, 8),(x, 8, 2)|` = 0

⇒ `R_1 rightarrow R_1 + R_2 + R_3`

or `|(x + 10,x + 10,x + 10),(2, x, 8),(x, 8, 2)|` = 0

or (x + 10)(x² – 10x + 52) = 0

⇒ x + 10 = 0  ...[∵ x is real]

⇒ x = –10

∴ `|x/2| = |(-10)/2|` = 5