document.write( "Question 422333: Find the center of this hyperbola: -4x^2+9y^2+16x-18y+29=0 \n" ); document.write( "

Algebra.Com's Answer #294806 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Finding the center of this hyperbola: 
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document.write( " -4x^2+9y^2+16x-18y+29=0
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document.write( " 9(y^2-2y)  - 4(x^2-4x) + 29 = 0  |Completing the square
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document.write( "9[(y-1)^2-1  - 4[(x-2)^2 -4] + 29 = 0
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document.write( "9(y-1)^2 -9 - 4(x-2)^2 +16 + 29 = 0
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document.write( "9(y-1)^2 - 4(x-2)^2 +36 = 0
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document.write( " 4(x-2)^2 - 9(y-1)^2 = 36
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document.write( "   Center Pt(2,1)
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