document.write( "Question 192331: x^2+4x+y^2+6y=2
\n" ); document.write( "What is the center and the radius? \n" ); document.write( "

Algebra.Com's Answer #144379 by RAY100(1637) $\"\"$ $\"About$

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basic formula for a circle is\r
\n" ); document.write( "\n" ); document.write( "(x-h)^2 + (y-k)^2 = r^2, where h is x center, k is y center, r is radius \r
\n" ); document.write( "\n" ); document.write( "to fit this form the given problem must \"complete the square\"\r
\n" ); document.write( "\n" ); document.write( "(x^2 +4x +4) + (y^2 +6y+9) = 2 + (+4)+ (+9)\r
\n" ); document.write( "\n" ); document.write( "reviewing take coefficient of the middle term, 4x, divide by 2 and then square, (4/2)^2 =4 and add to both sides of eqn\r
\n" ); document.write( "\n" ); document.write( "for y terms, ( 6/2)^2 =9 and add to both sides\r
\n" ); document.write( "\n" ); document.write( "Now factor x and y sets\r
\n" ); document.write( "\n" ); document.write( "(x+2)^2 + (y+3)^2 = 15\r
\n" ); document.write( "\n" ); document.write( "comparing to basic form we find \r
\n" ); document.write( "\n" ); document.write( "x center is (-2)\r
\n" ); document.write( "\n" ); document.write( "y center is (-3)\r
\n" ); document.write( "\n" ); document.write( "rad^2 = 15, rad =sq rt 15 = 3.87 \n" ); document.write( "

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