hernandezaracel hernandezaracel
  • 05-03-2018
  • Mathematics
contestada

Solve for z.
[tex]z {}^{4} - 65z {}^{2} + 64 = 0[/tex]

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jdoe0001 jdoe0001
  • 05-03-2018
[tex]\bf z^4-65z^2+64=0\implies (z^2)^2-65(z^2)+64=0 \\\\\\ (z^2-64)(z^2-1)=0\implies \begin{cases} z^2-64=0\\ z^2=64\\ z=\pm\sqrt{64}\\ z=\pm 8\\ ------\\ z^2-1=0\\ z^2=1\\ z=\pm\sqrt{1}\\ z=\pm 1 \end{cases}[/tex]
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