Question 1205326


If {{{z= x+iy}}} , {{{conj(z)= x-iy}}}


and if {{{z^3 * conj(z) + conj(z)^3* z = 350}}} , then 


{{{(x+iy)^3 * (x-iy) + (x-iy)^3* (x+iy) = 350}}}

{{{(x+iy)^2 * (x^2+y^2) +(x-iy)^2* (x^2+y^2) = 350}}}

{{{((x+iy)^2 +(x-iy)^2)* (x^2+y^2)=350}}}

{{{2(x - y)(x + y)(x^2 + y^2)= 350}}}

{{{(x - y)(x + y)(x^2 + y^2)= 175}}}

{{{(x^2 - y^2) (x^2 + y^2)= 175}}}

{{{x^4 - y^4 = 175}}}