Simplifying Equation: Where Am I Going Wrong? | Get Help with Math"

[ojsimon]

Hi,

I am trying to simplify this equation and it won't work using this method, although i can do it using another method, so this method should work too. Could someone please look at my working and tell me where I am going wrong?

-t^-1=-2A-(1/2)+1
2A^-(1/2)=t^-1 +1
A^(-1/2)=(t^-1 +1)/2
A^(1/2)=2/(t^-1 +1)
A=(2/(t^-1 +1))^(1/2)


Surely this should work, but the answer which is correct and i can get using another method is A=(4t^2)/(1+t)^2

Thanks for your help

 

[Mute]

A^(1/2)=2/(t^-1 +1)
A=(2/(t^-1 +1))^(1/2)

This step is incorrect. The right hand side of the last line should be raised to the power of 2, not 1/2. Once this error is fixed to get the "correct" form, just multiply top and bottom by t^2. (Or in the first line in the quote above, multiply by t on top and bottom, and then square both sides).

 

[ojsimon]

Thanks so much, i thought it must be something stupid..