Help with maths gcse question

Can somebody please tell me how to answer this?:

Solve:
2/(x+1) + x/(2x+3) = 1
Give solutions as surds


Thank you

Can somebody please tell me how to answer this?:

Solve:
2/(x+1) + x/(2x+3) = 1

Are these fractions?

Multiply through by (x+1)(2x+3) and solve the resulting quadratic.

Solve:
2/(x+1) + x/(2x+3) = 1
Give solutions as surds

Ok.
So......

2(2x+3)+x(x+1)/(x+1)(2x+3)=1
4x+6+x^2+x/2x^2+3x+2x+3=1
x^2+4x+6/2x^2+5x+3=1
x^2+4x+6=2x^2+5x+3
0=x^2+x-3

Put the equation x^2+x-3 into the quadratic equation in your calculator and you get the answer in surd form of -1plus or minus root 13 all over 2.
Hope it helped!

$\frac{2}{x+1} + \frac{x}{2x+3} = 1$

Multiply both sides by $(x+1)(2x+3)$

$2(2x+3) + x(x+1) = (2x+3)(x+1)$

Now expand it all out and solve.

Put the equation x^2+x-3 into the quadratic equation in your calculator and you get the answer in surd form of -1plus or minus root 13 all over 2.
Hope it helped!

x = -1±√(1/2)

I rushed this a little bit so it's probably wrong lol sorry for wasting your time if it is wrong

Ah okay got it now, I didn't get that you had to cross-multiply but thank you

Sorry - both are wrong.

So that you can check your answer, it is $x=\pm \sqrt{3}$

Yes I understand that he said surd so there should be no fraction but I think he/she realised.

aha yeah I rushed it way too much. I know what I did wrong
I always make silly mistakes