document.write( "Question 1151192: put the equation 16x^2+y^2+64x-2y+67=0 into conic standard form \n" ); document.write( "

Algebra.Com's Answer #772842 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "put the equation $\"16x%5E2%2By%5E2%2B64x-2y%2B67=0+\"$ into conic standard form=> here is an error, to have conic, $\"y%5E2\"$ must be $\"-y%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"16x%5E2-y%5E2%2B64x-2y%2B67=0+\"$ .......group like terms\r
\n" ); document.write( "\n" ); document.write( " $\"%2816x%5E2%2B64x%29-%28y%5E2%2B2y%29%2B67=0+\"$ ............complete squares\r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%5E2%2B4x%2Bb%5E2%29-16b%5E2-%28y%5E2%2B2y%2Bb%5E2%29-b%5E2%2B67=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%5E2%2B4x%2B2%5E2%29-16%2A2%5E2-%28y%5E2%2B2y%2B1%5E2%29-%28-1%29%5E2%2B67=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%2B2%29%5E2-64-%28y%2B1%29%5E2%2B1%2B67=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%2B2%29%5E2-%28y%2B1%29%5E2%2B68-64=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%2B2%29%5E2-%28y%2B1%29%5E2%2B4=0+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16%28x%2B2%29%5E2-%28y%2B1%29%5E2%2B4=0+\"$ .... move $\"16%28x%2B2%29%5E2-%28y%2B1%29%5E2\"$ to the right\r
\n" ); document.write( "\n" ); document.write( " $\"4=%28y%2B1%29%5E2+-16%28x%2B2%29%5E2\"$ ...switch sides \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B1%29%5E2+-16%28x%2B2%29%5E2=4\"$ ........both sides divide by $\"4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B1%29%5E2%2F4-4%28x%2B2%29%5E2=1\"$ ..........write $\"4\"$ in front of $\"x\"$ part as $\"1%2F%281%2F4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28y%2B1%29%5E2%2F4-%28x%2B2%29%5E2%2F%281%2F4%29=1\"$ => here you have the equation of hyperbola in conic standard form\r
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