document.write( "Question 675116: How do you find the center and the foci of the conic section 25x2+50x-9y2-18y-209=0 \n" ); document.write( "
Algebra.Com's Answer #419605 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening right and left is:
\n" ); document.write( " \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" with C(h,k) and vertices 'a' units right and left of center, 2a the length of the transverse axis
\n" ); document.write( "Foci are \"sqrt%28a%5E2%2Bb%5E2%29\" units right and left of center along y = k
\n" ); document.write( "25x2+50x-9y2-18y-209=0 || putting into Standard form
\n" ); document.write( " 25(x+1)^2 - 9(y+1)^2 - 25 + 9 - 209 = 0
\n" ); document.write( " 25(x+1)^2 - 9(y+1)^2 = 225
\n" ); document.write( "\"%28x%2B1%29%5E2%2F9+-%28y%2B1%29%5E2%2F25+=+1\"
\n" ); document.write( "center: C(-1,1)
\n" ); document.write( "foci: \"sqrt%28a%5E2%2Bb%5E2%29+=+sqrt%2834%29\" F(-1+\"sqrt%2834%29\",1) and F(-1-\"sqrt%2834%29\",1) \n" ); document.write( "
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