( with solution )
Activity 2: Write the following equations of a circle to center-radius form.
1. x2 - 6x + y2 + 8y + 5 = 0
2. x2 + y2 + 6x - 8y + 5 = 0
3. x2 + y2 - 4x + 2y + 4 = 0
4. x2 + y2 + 2x - 6y = - 14
5. x2 + y2 + 3x + 5y + 9/4 = 0
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Sagot :

1] (x – 3)² + (y + 4)² = 20

2] (x + 3)² + (y – 4)² = 20

3] (x – 2)² + (y + 1)² = 1

4] (x + 1)² + (y – 3)² = -4, not a circle, since r² can't be negative

5] (x + 3/2)² + (y + 5/2)² = 25/4