Math, asked by saswatisingh793, 3 months ago

x+1/4 = 17/x , x-1/x = ?

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Answered by Anonymous
33

Answer:

Given :  x   +   1/x    = 17/4

To find : Value of x

Solution:

x   +   1/x    = 17/4

multiplying both sides by 4x

=> 4x²  + 4  = 17x

=> 4x² - 17x  + 4 = 0

=> 4x² - 16x  -x  + 4 = 0

=>  4x(x - 4) - 1(x - 4) = 0

=> (4x - 1) (x - 4) = 0

=> x = 1/4   , x  = 4

=>  1/x = 4  &  1/x = 1/4

Verification :    x + 1/x   = 1/4 + 4  =  4 + 1/4  =  17/4

x =  4  ,  1/4

Step-by-step explanation:

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