If (3x + 2/x − 4) = 10, what is the value of (9x² + 4/x² + 24)?
Show answer & explanation
Correct answer: B
Explanation
Given,
3x + 2/x − 4 = 10
3x + 2/x = 14
(3x + 2/x)² = 9x² + 4/x² + 2 × 3x × 2/x
= 9x² + 4/x² + 12
= 14²
= 196
9x² + 4/x² = 196 − 12 = 184
9x² + 4/x² + 24 = 184 + 24 = 208