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!
[(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
]]>Solve[Sqrt[x-1]-Sqrt[x+1] +1==0,x]
The above is Mathematica code. How do I solve that equation with Sage?
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