Question

please solve this questions correctly please ​

Answer 1

1. 9x + 1/x = 6

(9x^2+1)/x =6

9x^2 + 1 = 6x

9x^2 -6x +1 =0

9x^2 -3x -3x +1 =0

3x( 3x-1) -1(3x-1) = 0

(3x-1)(3x-1) = 0

3x-1=0

x =1/3

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

{ x^2 + (x-1)^2 }/(x^2-x) = 5/2

{ x^2 +x^2 +1 - 2x} ×2 = (x^2-x)×5

4x^2 - 4x + 2 = 5x^2 -5x

0 = 5x^2 - 5x - 4x^2 + 4x -2

0 = x^2 - x - 2

x^2 -2x + x -2 =0

x(x-2) + 1(x-2) =0

(x-2)(x+1) =0

x = 2 & x= -1