Question

Explain why x^2 + y^2 -6x +10y = -34 is NOT a circle. What is it?

Answer 1

Answer:

(See explanation for further details)

Step-by-step explanation:

The expression is transformed into its standard form:

$x^{2} + y^{2} - 6\cdot x + 10\cdot y + 34 = 0$

$x^{2} - 6\cdot x + 9 + y^{2} + 10\cdot y + 25 = 0$

$(x-3)^{2} + (y+5)^{2} = 0$

The function does not represent a circle, as radius is a positive number.