Question

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

**need serious help with this one ​

Answer 1

(See explanation for further details)

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.