epaloski21oofofofof epaloski21oofofofof
  • 01-05-2018
  • Mathematics
contestada

Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q. 3 + x - 3x2 = 9

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gmany
gmany gmany
  • 04-05-2018
[tex]x-3x^2=9\\\\3x^2-x=-9\ \ \ \ |:3\\\\x^2-\dfrac{1}{3}x=-3\\\\x^2-2\cdot x\cdot\dfrac{1}{6}+\left(\dfrac{1}{6}\right)^2=-3+\left(\dfrac{1}{6}\right)^2\ \ \ \ |use:\ (a-b)^2=a^2-2ab+b^2\\\\\left(x-\dfrac{1}{6}\right)^2=-3+\dfrac{1}{36}\\\\\left(x-\dfrac{1}{6}\right)^2=-2\dfrac{35}{36}[/tex]

Answer: No solution.
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