X+(2)/(x) = 3 solve for x must be 2 variables that equal to x Please put the steps.

Question

`x+(2)/(x) = 3`

solve for x
must be 2 variables that equal to x
Please put the steps.

Answer 1

x=2, x=1

Explanation:

Multiply both sides by x, so you get (x^2)+2=3x, which comes from
`xx+(2)/(x)x=3x`

Solve for (x^2)+2=3x

(x^2)-3x+2=0

(x-2)(x-1)=0, use box method or FOIL if needed

x=2,x=1