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If x – (2√5/x) = 7, then find the value of the expression (x2 – 5x – 2√5)/[x2(x – 7)]?1. √52. √5/53. 1/54. 5√5 |
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Answer» Correct Answer - Option 2 : √5/5 Given: x – (2√5/x) = 7 ⇒ x2 – 2√5 = 7x Concept: Arrange the asked equation and put the value of the given equation in it to get the answer. Calculation: ∵ x2 – 2√5 = 7x ------(1) ⇒ x2 – 7x = 2√5 On arranging the equation = (x2 – 5x – 2√5)/[x2(x – 7)] We get; [(x2 – 2√5) – 5x]/[x(x2 – 7x)] ⇒ (7x – 5x)/(x × 2√5) ⇒ 2x/(2√5x) ⇒ 1/√5 = √5/5 |
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