radomes.openskiesproject.org
mwickerh mwickerh
  • 19-11-2014
  • Mathematics
Answered

solve the equation using any method you prefer. Give imaginary roots.\(3a^2+4=2a\)

Verified Answer :

konrad509
konrad509 konrad509
  • 19-11-2014

\(3a^2+4=2a\\ 3a^2-2a+4=0\\ \Delta=(-2)^2-4\cdot3\cdot4=4-48=-44\\ \sqrt{\Delta}=\sqrt{-44}=2\sqrt{11}i\\ x_1=\frac{-(-2)-2\sqrt{11}i}{2\cdot3}=\frac{2-2\sqrt{11}i}{6}=\frac{1-\sqrt{11}i}{3}\\ x_2=\frac{-(-2)+2\sqrt{11}i}{2\cdot3}=\frac{2+2\sqrt{11}i}{6}=\frac{1+\sqrt{11}i}{3}\\\)

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