Question

Solve `6/x = 1 + x`

Answer 1

`6/x = 1 + x`

`=> 6 = x + x^2`

`=> x^2 + x - 6 = 0`

`=> x^2 + 3x - 2x - 6 = 0`

`=> x(x + 3)-2(x    +3) = 0`

`=> (x + 3)(x - 2) = 0`

since x + 3 = 0 or x - 2 = 0

then x =-3 or x = 2