I am only curious

]]>Why does the simplest idea not work but the complicated ones do?

Why, wan't #7 simple?

]]>`solve([y==sqrt(x-1),y==sqrt(x+1)-1],x,y)`

[[x == (5/4), y == (1/2)]]

which is just perfect!

Did not eliminate sqrt completely, so needs to be modified.]]>

`[(8*sqrt(x + 1)*sqrt(x - 1)*x)^2==(8*x^2 - 5)^2]`

Its syntax is

`solve([sqrt(x-1)-sqrt(x+1)==-1],x)`

But it doesn't solve it though, Sage and maxima seems to have a problem when square roots are involved like that.

That has frustrated me a few times.

So we need to either manually eliminate the roots or write a program to eliminate roots, and then give that equation to solve.

Introduces some extra solutions, so we need to weed out the extras later.

For now, use this input instead:

`solve([(8*sqrt(x + 1)*sqrt(x - 1)*x)^2==(8*x^2 - 5)^2],x)`

[x == (-5/4), x == (5/4)]

So, for the original equation, x=5/4

Only gAr can tell

]]>Sorry, this doesn't work. Haven't used Sage in a long time after switching to Mathematica. I don't know why it doesn't work though...]]>

`Solve[Sqrt[x-1]-Sqrt[x+1] +1==0,x]`

The above is Mathematica code. How do I solve that equation with Sage?

]]>