document.write( "Question 190071: Find the center of the ellipse 16x^2 + 25y^2 + 32x - 150y = 159 \n" ); document.write( "
Algebra.Com's Answer #142637 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! rearranging and factoring ___ 16(x^2+2x) + 25(y^2-6y) = 159\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "completing the squares ___ 16(x^2+2x+1) + 25(y^2-6y+9) = 159 + 16 + 225 = 400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dividing by 400 ___ {[(x+1)^2] / 25} + {[(y-3)^2] / 16} = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the \"center\" form of the equation ___ the center is (-1,3) \n" ); document.write( " |