hyperbola equation

Step 2: Complete the square for each grouping. In this case, for the terms involving x use (8 2)2 = 42 = 16 and for the terms involving y use (6 2)2 = (3)2 = 9. The factor in front of each grouping affects the value used to balance the equation on the right, 4(x2 + 8x+ 16) − 9(y2 + 6y+ 9) = 53+ 64− 81. barca vs madrid copa del rey 2023