Evaluate 9x^2+1/9x^2 if (3x-1/3x)=8/3
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Answered by
27
3x - 1/3x = 8/3
take square both sides,
(3x - 1/3x)² = (8/3)²
(3x)² + (1/3x)² - 2 × 3x× 1/3x = 64/9
9x² + 1/9x² - 2 = 64/9
9x² + 1/9x² = (64 + 18)/9 = 82/9
hence, 9x² + 1/9x² = 82/9
take square both sides,
(3x - 1/3x)² = (8/3)²
(3x)² + (1/3x)² - 2 × 3x× 1/3x = 64/9
9x² + 1/9x² - 2 = 64/9
9x² + 1/9x² = (64 + 18)/9 = 82/9
hence, 9x² + 1/9x² = 82/9
DavidChris13812:
well i am sorry but can you explain. algebra nevr goes into my head.
Answered by
9
9x^2+1/9x^2=82/9 is the ans
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