Question

if 2X + 1/X= 2 then what is the value of 1/2x²+x+1?​

Answer 1

Step-by-step explanation:

2x + 1 / x = 2

2x×x+1/x=2

2xsquare +1/x=2x

2xsqare-2x+1=0(split the middle term)

x=1/2and1

so ,

1/2*1/2*1/2+1/2+1

6/3=3

and

Answer 2

Answer:

1/3

Step-by-step explanation:

2x+1/x=2

or, 2x²+1/x=2

or, 2x²+1=2x

or, 2x²-2x+1=0

or, 3x²-3x+x-1=0

or,3x(x-1)+1(x-1)=0

. ' .(x-1)(3x+1)=0

. ' . x-1=0

or,x. = 1

now, x/2x²+x+1=1/2*1²+1+1=1/2+1+1=1/3...(answer)...