document.write( "Question 1169922: Please help me solve this equation 9x^2+25y^2-36x+50y-164=0 \n" ); document.write( "
Algebra.Com's Answer #794812 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Write it out this way \n" ); document.write( "9x^2-36x+25y^2+50y=164 \n" ); document.write( "9(x^2-4x)+25(y^2+2y)=164 \n" ); document.write( "complete the square \n" ); document.write( "9(x^2-4x+4)+25(y^2+2y+1)=225, remember to multiply the 4 by 9 and the 1 by 25 and add that to the right. \n" ); document.write( "9(x+2)^2+25(y+1)^2=225 Want the right side equal to 1, so divide by 225 \n" ); document.write( "(1/25)(x+2)^2+(1/9)(y+1)^2=1 \n" ); document.write( "This is an equation of an ellipse. You can also divide out the 9 and the 25 separately earlier. \n" ); document.write( " |