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2013-06-25 10:00:31 +0200 | asked a question | solving radical equations with parameters I would like to find the solutions $y$ to this type of equations: $$\left(1+x -\sqrt{(1+x)^2-4y}\right)^2=z$$ with conditions on $x,y,z$ (like $0\lt y\lt x\leq \frac18$ and $0\lt z\lt x^2$). Using does not seem to work because $y$ appears on the right side of the solution. I expect to find a solution like $$y=\frac14\left((1+x)^2-\left(1+x-\sqrt{z}\right)^2\right).$$ I also tried the same after specifying the conditions with |