jaylapatillo1441 jaylapatillo1441
  • 02-10-2018
  • Mathematics
contestada

3s squared + 2 = -62

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gmany
gmany gmany
  • 04-10-2018

[tex]3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-\dfrac{64}{3} < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-\dfrac{64}{3}\to s=\pm\sqrt{-\dfrac{64}{3}}=\pm\sqrt{\dfrac{64}{3}}\cdot\sqrt{-1}=\pm\dfrac{\sqrt{64}}{\sqrt3}\cdot i=\pm\dfrac{8}{\sqrt3}i\\\\=\pm\dfrac{8\cdot\sqrt3}{\sqrt3\cdot\sqrt3}i=\pm\dfrac{8\sqrt3}{3}i[/tex]

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