If x- 1 /x = 4, then find the value of x +1/x
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Answer:
Step-by-step explanation:
x- 1 /x = 4
=> x^2-1 = 4x
=> x^2 - 4x - 1 = 0
=> x = 2 + √3 , 2 - √3
If x = 2 + √3, then value of x +1/x is :
=> (2+√3) + 1/(2+√3)
By solving this, we get
=> 4
Similarly,
If x = 2 - √3, then value of x - 1/x is :
=> (2-√3) + 1/(2-√3) = 4
By putting both the values of x , we get
value of x + 1/x = 4
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