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Solutions
The correct answer is option 1 i.e. 584/3.
Given:
2x + 1/3x = 14
Formula used:
(a + b)2 = a2 + b2 + 2ab
Calculations:
2x + 1/3x = 14
⇒ (2x + 1/3x)2 = 196
⇒ 4x2 + 1/9x2 + 4/3 = 196
⇒ 4x2 + 1/9x2 = 196 - 4/3
⇒ 4x2 + 1/9x2 = 584/3