document.write( "Question 759363: Classify the coincs.\r
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document.write( "1. x2 -8x + y = -2\r
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document.write( "2. x2 + y2 - 6x - 10y = 2\r
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document.write( "3. x2 + 10x - 8y = -73\r
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document.write( "4. 9x2 - 4y2 + 54x + 8y + 41 = 0\r
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document.write( "5. 9x2 + 4y2 - 72x - 32y = -172\r
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document.write( "6. 4x2 + 25y2 + 16x + 50y - 59 = 0\r
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document.write( "7. x2 + 2x +y2 + 6y = 15 \n" );
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Algebra.Com's Answer #466998 by DSMLMD(16)![]() ![]() You can put this solution on YOUR website! 1. \n" ); document.write( "x^2-8x+y = -2 \n" ); document.write( "(x^2-8x+16) = -2 - y \n" ); document.write( "(x-4)^2 - 16 = -2 - y \n" ); document.write( "(x-4)^2 = 14 - y \n" ); document.write( "(x-4)^2 = -(y - 14) \n" ); document.write( "it's parabola \n" ); document.write( " \n" ); document.write( "2. \n" ); document.write( "x^2+y^2-6x-10y=2 \n" ); document.write( "x^2-6x+y^2-10y=2 \n" ); document.write( "(x^2-6x+9)+(y^2-10y+25)=2 \n" ); document.write( "(x-3)^2 - 9 + (y-5)^2 - 25 = 2 \n" ); document.write( "(x-3)^2 + (y-5)^2 = 32 \n" ); document.write( "it's circle \n" ); document.write( " \n" ); document.write( "3. \n" ); document.write( "x^2+10x-8y=-73 \n" ); document.write( "(x^2+10x+25)=8y-73 \n" ); document.write( "(x+5)^2 - 25 = 8y-73 \n" ); document.write( "(x+5)^2 = 8y-48 \n" ); document.write( "(x+5)^2 = 8(y-8) \n" ); document.write( "it's parabola \n" ); document.write( " \n" ); document.write( "4. \n" ); document.write( "9x^2 - 4y^2 + 54x + 8y + 41 = 0 \n" ); document.write( "9x^2 + 54x - 4y^2 + 8y + 41 = 0 \n" ); document.write( "9(x^2 + 6x) - 4(y^2 - 2y) = -41 \n" ); document.write( "9(x^2 + 6x + 9) - 4(y^2 - 2y + 1) = -41 \n" ); document.write( "9(x + 3)^2 - 81 - 4(y - 1)^2 + 4 = -41 \n" ); document.write( "9(x + 3)^2 - 4(y - 1)^2 = 36 \n" ); document.write( "(x + 3)^2/4 - (y - 1)^2/9 = 1 \n" ); document.write( "it's hyperbola \n" ); document.write( " \n" ); document.write( "5. \n" ); document.write( "9x^2 + 4y^2 - 72x - 32y = -172 \n" ); document.write( "9x^2 - 72x + 4y^2 - 32y = -172 \n" ); document.write( "9(x^2 - 8x) + 4(y^2 - 8y) = -172 \n" ); document.write( "9(x^2 - 8x + 16) + 4(y^2 - 8y + 16) = -172 \n" ); document.write( "9(x - 8)^2 - 144 + 4(y - 8)^2 - 144 = -172 \n" ); document.write( "9(x - 8)^2 + 4(y - 8)^2 = 36 \n" ); document.write( "(x - 8)^2/4 + (y - 8)^2/9 = 1 \n" ); document.write( "it's ellipse \n" ); document.write( " \n" ); document.write( "6. \n" ); document.write( "4x^2 + 25y^2 + 16x + 50y - 59 = 0 \n" ); document.write( "4x^2 + 16x + 25y^2 + 50y - 59 = 0 \n" ); document.write( "4(x^2 + 4x) + 25(y^2 + 2y) = 59 \n" ); document.write( "4(x^2 + 4x + 4) + 25(y^2 + 2y + 1) = 59 \n" ); document.write( "4(x + 4)^2 - 16 + 25(y + 1)^2 - 25 = 59 \n" ); document.write( "4(x + 4)^2 + 25(y + 1)^2 = 100 \n" ); document.write( "(x + 2)^2/25 + (y + 1)^2/4 = 1 \n" ); document.write( "it's ellipse \n" ); document.write( " \n" ); document.write( "7. \n" ); document.write( "x^2 + 2x + y^2 + 6y = 15 \n" ); document.write( "(x^2 + 2x + 1) + (y^2 + 6y + 9) = 15 \n" ); document.write( "(x + 1)^2 + 1 + (y + 3)^2 + 3 = 15 \n" ); document.write( "(x + 1)^2 + (y + 3)^2 = 11 \n" ); document.write( "it's circle \n" ); document.write( " |