If {(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1, then the possible values of x are:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Both 5 and -5.
{(1 ÷ x) × (x3 − 2x2) + (43 ÷ 25) × x} ÷ 25 = 1
⇒ {(1/x) × x2 (x − 2) + (64 ÷ 32) × x} ÷ 25 = 1
⇒ {x (x − 2) + 2x}/25 = 1
⇒ x2 - 2x + 2x = 25
⇒ x2 = 25
⇒ x = 5 and -5