what type of graph is:
x^2 + 3y^2 - 4x + 6y = -1
Find the value of the discriminant of the equation. Describe the roots completely. Do not solve.
3x^2 + 4x - 5 = 0
A) 31; 2 real, irrational roots
B) -44; 2 imaginary roots
C) 76; 2 real, rational roots
D) 76; 2 real., irrational roots
Part One. since 5x^2+9y^2=45 <==> x^2/9+y^2/5=1
The graph is ellipse with intersection points (-3,0) ...
This shows how to find discriminants and how to identify the shape of a graph given the equation