document.write( "Question 813417: Determine the type of curve represented by the equation. Find the foci and vertices (if any) Gary is x years old today. two years ago, his grandfather was 3 times older than Gary at that time.
\n" ); document.write( " 2x^2-12x+y^2+6y+26=0 \n" ); document.write( "

Algebra.Com's Answer #489653 by stanbon(75887) $\"\"$ $\"About$

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Determine the type of curve represented by the equation. Find the foci and vertices (if any)::
\n" ); document.write( "2x^2-12x+y^2+6y+26 = 0
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\n" ); document.write( "2(x^2-6x+9) + (y^2+6y+9) = -26+18+9
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\n" ); document.write( "2(x-3)^2 + (y+3)^2 = 1
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\n" ); document.write( "(x-3)^2/(1/2) + (y+3)^2/1 = 1
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\n" ); document.write( "Ellipse with center at (3,-3)
\n" ); document.write( "a = sqrt(1) = 1 ; b = sqrt(1/2) = sqrt(2)/2
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\n" ); document.write( "a^2 = b^2+c^2
\n" ); document.write( "c = sqrt[1-1/2] = sqrt(2)/2
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\n" ); document.write( "Foci:(h, k+-c)
\n" ); document.write( "Foci:: (3 ,-3-(sqrt(2)/2) and (3, -3+(sqrt(2)/2))
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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