Question

If 2x=4/x+1 what is x

Answer 1

`2x = (4)/(x+1)`

Cross- Multiply:

`2x (x + 1) = 4`

Distribute 2x:

`2x^2 + 2x = 4`

Subtract 4 from both sides:

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

Divide both sides by 2:

`x^2 + x - 2 = 0`

Factorise:

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

Apply zero product property:

`x = 2 \ or \ x = 1`