Question : prove that (0,0), (1,-1),(-1,1) are solutions of the system of non linear equations equations given as \[x=y\left(1-\left(x^2+y^2\right)\right) , y=x\left(1-\left(x_2+y^2\right)\right) \] Solution : Given system of non linear equations \[x=y\left(1-\left(x^2+y^2\right)\right) \] (1) \[y=x\left(1-\left(x_2+y^2\right)\right) \] (2) From eqn (1) \[\frac{x}{y}=1-\left(x^2+y^2\right)\]…
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