Remark
The general equation for an ellipse is
At the center, the the point is 0,27
Solving for the
or b^2= 27^2 * 1
Taking the square root of both sides
b = 27
Now we need to use one more piece of information
The second point is (24,9) what that means is at the point x = 24, y = 9
Solving for that
576/a^2 + 81/729 = 1 Subtract 81/729 from both sides
576/a^2 = 1 - 81/729 = 576/a^2 = (729 - 81)/729 = 648 /729
576/a^2 = 648/729 Cross multiply
648 a^2 = 729 * 576 Divide by 648
a^2 = 648
Full equation for the ellipse and answer is
The general equation for an ellipse is
At the center, the the point is 0,27
Solving for the
or b^2= 27^2 * 1
Taking the square root of both sides
b = 27
Now we need to use one more piece of information
The second point is (24,9) what that means is at the point x = 24, y = 9
Solving for that
576/a^2 + 81/729 = 1 Subtract 81/729 from both sides
576/a^2 = 1 - 81/729 = 576/a^2 = (729 - 81)/729 = 648 /729
576/a^2 = 648/729 Cross multiply
648 a^2 = 729 * 576 Divide by 648
a^2 = 648
Full equation for the ellipse and answer is