Question

X+1/x=17/4 find the value of x

Answer 1

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

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