document.write( "Question 1106320: How would I write -4x^2 + 9y^2 + 32x + 36y - 64 = 0 in standard form? What are the steps? \n" ); document.write( "
Algebra.Com's Answer #721287 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! -4x^2 + 9y^2 + 32x + 36y - 64 = 0 ; \n" ); document.write( "put positive square first and move constant to right side. Group x and y \n" ); document.write( "9y^2+36y-4x^2+32x=64. Factor \n" ); document.write( "9(y^2+4y)-4(x^2-8x)=64. Complete the square and add constants to right side \n" ); document.write( "9(y^2+4y+4)-4(x^2-8x+16)=64+36-64 \n" ); document.write( "9(y+2)^2-4(x-4)^2=36. Divide both sides by 36 \n" ); document.write( "(y-(-2))^2/4-(x-4)^2/9=1, write in the form of (y-k)^2/b^2-(x-h)^2/a^2=1, equation of hyperbola.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |