Can anybody solve this?

#9x^2 + 16y^2+36x-32y-92 = 0#

1 Answer
Jun 3, 2018

#x approx {-5.771, 1.771}#

Explanation:

#9x^2 + 16y^2+36x-32y-92 = 0#

#9x^2 + 16y^2+36x-32y = 92#

The above constitutes an ellipse as shown below.

graph{9x^2 + 16y^2+36x-32y = 92 [-10, 10, -5, 5]}

From which we can determine the #x-#intercepts as:

#x approx {-5.771, 1.771}#