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