My previous question was closed - fair enough - but I am not a student doing homework but 69 years old - and in the past you helped me to solve 7 polynomial

s*x+i = (x^2*v^2/w^2+v^2)^(1/2) wanted that solved for x

[Torsten]

Squaring your equation gives a quadratic equation for x that can be solved using the quadratic formula:

https://en.wikipedia.org/wiki/Quadratic_equation

Answer 1

[Walter Roberson]

syms s x v w
eqn = s*x+1i == (x^2*v^2/w^2 + v^2)^(1/2)

eqn = 

sol = solve(eqn, x)

Warning: Solutions are only valid under certain conditions. To include parameters and conditions in the solution, specify the 'ReturnConditions' value as 'true'.

sol = 

sol1 = solve(eqn, x, 'returnconditions', true)

sol1 = struct with fields:
             x: [2x1 sym]
    parameters: [1x0 sym]
    conditions: [2x1 sym]

sol1.x

ans = 

sol1.conditions

ans =