Graph each equation on a graphing calculator. Identify each conic

Question

1. 5x² + 5y² =45

2. x² + 25y² =25

Answer 1

1,  circle of radius 3, center at Origin; divide by 5 to see x² + y² = 9 (r squared on right side)

 

2, ellipse, center at origin, semimajor axis length 5 (on x-axis); semiminor axis length = 1.  This can be seen by dividing all terms by 25; then denominator under x² is 25, meaning a = 5