# Find Out the Value of X Equation

If x + __1/x__ =1, then the value of (x^{2}__ + 3x + 1)/__ (x^{2} + 7x + 1)

- 2
- 1
- 1/2
- 3/7

**Answer : (3) 1/2**

Explanation:-

x + 1/x = 1,

Then, (x^{2}__ + 3x + 1)/__ (x^{2} + 7x + 1)

Numerator and denominator divide by x

Then, (x^{2}/x + 3x/x + 1/x)/(x^{2}/x + 7x/x + 1/x)

(x + 3 + 1/x)/ (x + 7 + 1/x)

= (3 + x + 1/x)/(7 + x + 1/x)

Put the value of x + 1/x = 1,

Then, (3 + 1)/(7 + 1)

= 4/8

= ½

Hence, the answer is (3) 1/ 2.