Reply
Sun 27 Oct, 2019 01:38 am

Hello can you please help me to check is this system of equations consistent or not

k == (Sqrt[y^2 - 2 y^3 - y^4 + 2 y + 1] + Sqrt[2 - 2 y] -

k)/((y + 1) Sqrt[1 - y^2]),

Sqrt[2]/2/m == k/(k - Sqrt[2 - 2 y]), n ==

Sqrt[2 - 2 Sqrt[1 - m^2]], z == Sqrt[2 - 2 y]/f ==

Sqrt[(z*n)^2 - 2 + 2 y]/

Sqrt[n^2 - f^2], t == (Sqrt[g^2 - 2 g^3 - g^4 + 2 g + 1] +

Sqrt[2 - 2 g] - t)/((g + 1) Sqrt[1 - g^2]),

Sqrt[2]/2/h == t/(t - Sqrt[2 - 2 g]), q ==

Sqrt[2 - 2 Sqrt[1 - h^2]], l == Sqrt[2 - 2 g]/p ==

Sqrt[(l*q)^2 - 2 + 2 g]/

Sqrt[q^2 - p^2], (z + 1) x == (l + 1) 2 x == (y + 1) Sqrt[1 - y^2]/

Sqrt[2] == Pi/4, q == m. Because I even tried to solve it with Mathcad 15 but do not know how to input. I mean if suppose system solved in reals is it correct place where I wrote ==Pi/4. Thank you!