toxicsugar22
  • toxicsugar22
can anyone help me whos smart
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
your problem
toxicsugar22
  • toxicsugar22
4x^2-6y^2+32x-24y+16=0 give the exact coordinated of an four points
toxicsugar22
  • toxicsugar22
do u know how to do it

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anonymous
  • anonymous
Complete the square and you'll find it's a circle. You could choose any four points on the circle.
toxicsugar22
  • toxicsugar22
can u help me
anonymous
  • anonymous
\[2x^2+16x-3y^2-12y=-8\] \[2(x^2+8x)-3(y^2+4y)=-8\] \[2(x^2+8x+16)-3(y^2+4y+4)=-8+32-12=12\] \[2(x+4)^2-3(y+2)^2=12\] \[\frac{(x+4)^2}{6}-\frac{(y+2)^2}{4}=1\]
anonymous
  • anonymous
;first step was divide by two to make the calculation easier second was to factor and group third was to complete the square and add and subtract on the right what was added and subtracted on the left. last step was to divide by 12
anonymous
  • anonymous
this is as you said a hyperbola, not a circle.
anonymous
  • anonymous
now pick a y and solve for x, or pick an x and solve for y
toxicsugar22
  • toxicsugar22
can u help me

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