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Question-76700




Question Number 76700 by Mikael_786 last updated on 29/Dec/19
Commented by benjo 1/2 santuyy last updated on 29/Dec/19
what are you looking for ,sir?
$${what}\:{are}\:{you}\:{looking}\:{for}\:,{sir}? \\ $$
Commented by Mikael_786 last updated on 29/Dec/19
I′m looking for solution of   this equation Sir.
$${I}'{m}\:{looking}\:{for}\:{solution}\:{of}\: \\ $$$${this}\:{equation}\:{Sir}. \\ $$
Answered by john santu last updated on 29/Dec/19
Commented by Mikael_786 last updated on 29/Dec/19
thank you Sir
$${thank}\:{you}\:{Sir} \\ $$
Commented by MJS last updated on 29/Dec/19
there are more solutions  we can solve (1) for y, insert in (2), solve for  z and so on  we end up with a polynome of degree 16 for x  x_(1, 2) =(3/2)±((√3)/2)i  x_(3, 4) =−(3/2)±((√(39))/2)i  and 6 more pairs of conjugated complex  solutions only approximately
$$\mathrm{there}\:\mathrm{are}\:\mathrm{more}\:\mathrm{solutions} \\ $$$$\mathrm{we}\:\mathrm{can}\:\mathrm{solve}\:\left(\mathrm{1}\right)\:\mathrm{for}\:{y},\:\mathrm{insert}\:\mathrm{in}\:\left(\mathrm{2}\right),\:\mathrm{solve}\:\mathrm{for} \\ $$$${z}\:\mathrm{and}\:\mathrm{so}\:\mathrm{on} \\ $$$$\mathrm{we}\:\mathrm{end}\:\mathrm{up}\:\mathrm{with}\:\mathrm{a}\:\mathrm{polynome}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{16}\:\mathrm{for}\:{x} \\ $$$${x}_{\mathrm{1},\:\mathrm{2}} =\frac{\mathrm{3}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}\mathrm{i} \\ $$$${x}_{\mathrm{3},\:\mathrm{4}} =−\frac{\mathrm{3}}{\mathrm{2}}\pm\frac{\sqrt{\mathrm{39}}}{\mathrm{2}}\mathrm{i} \\ $$$$\mathrm{and}\:\mathrm{6}\:\mathrm{more}\:\mathrm{pairs}\:\mathrm{of}\:\mathrm{conjugated}\:\mathrm{complex} \\ $$$$\mathrm{solutions}\:\mathrm{only}\:\mathrm{approximately} \\ $$
Commented by Mikael_786 last updated on 29/Dec/19
thank you Sir.
$${thank}\:{you}\:{Sir}. \\ $$

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