The graph of ##y^2 + 2xy + 40 \mid x \mid =400## divides the plane into regions. The area of the bounded region is?
All relevant to calculus
The Attempt at a Solution
My question is how to predict the graph without using a grapher here? I put x and y=0 to find the points where it cuts the axes (0,+-20) and (+-10,0). but I never could have guessed what it looks like without a computer (like in my exams)