if a=3-2√2find the value of a²-1/a²
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Deepsbhargav:
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no your answer is wrong
tell me right answer
-24√2
how
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i dont no because it is the book of rs agarwal and in this book this answer is given
i don't know how to explain, so because i have asked this question
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Hii friend,
A = 3-2✓2
Therefore,
A²-1/A² = (3-2✓2)² - 1 / ( 3-2✓2)²
= (3)² + (2✓2)² - 2 × 3 × 2✓2 -1 / (3)² + (2✓2)² - 2 × 3 × 2✓2
= 9 + 8 - 12✓2 -1 / 9 + 8 - 12✓2
= 16-12✓2/17-12✓2 Ans...
A = 3-2✓2
Therefore,
A²-1/A² = (3-2✓2)² - 1 / ( 3-2✓2)²
= (3)² + (2✓2)² - 2 × 3 × 2✓2 -1 / (3)² + (2✓2)² - 2 × 3 × 2✓2
= 9 + 8 - 12✓2 -1 / 9 + 8 - 12✓2
= 16-12✓2/17-12✓2 Ans...
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