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If 5x2 - 6x - 5 = 0, then find the value of \({\left( {x - \frac{1}{x}} \right)^2}\).1. 16/252. 64/253. 81/254. 36/25 |
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Answer» Correct Answer - Option 4 : 36/25 Given: 5x2 – 6x – 5 = 0 Calculation: 5x2 – 5 = 6x ⇒ 5(x2 – 1) = 6x ⇒ x2 – 1 = 6x/5 Dividing x on both sides ⇒ x – (1/x) = 6/5 ⇒ {x – (1/x)}2 = 36/25 ∴ The value of {x – (1/x)}2 is 36/25. |
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