Question

x+1/x=5;find the value of x/x^2+x+1​

Answer 1

Answer:

6

Step-by-step explanation:

x/x^2+x+1

When you simplify,

1/x + x + 1------(1)

And it is given that

x+1/x=5-------(2)

Substitute (2) in (1)

=5 + 1

=6

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Answer 2

Answer:

Step-by-step explanation:

x+1/x=5

x+1=5x

1=5x-x

1=4x

x=1/4

Put the value of x we get,

x/x^2+x+1

1/4/(1/4)^2+1/4+1

1/4/1/16+1/4+1

1/4/6/16

1/4*16/6

2/3 is the answer