If x ^2 +1/x^2 =51 then value of X - 1/x
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Answer:
Value of (x - 1/x) is √45
Step-by-step explanation:
x ² + 1/x² =51
=> (x + 1/x)² - 2.x.1/x = 51 [As a² + b² = (a + b)² - 2ab]
=> (x + 1/x)² = 51 - 2
=> (x - 1/x)² + 4.x.1/x = 49 [As (a + b)² = (a - b)² + 4ab]
=> (x - 1/x)² = 49 - 4
=> (x - 1/x) = √45
Ans:- Value of (x - 1/x) is √45
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