Which conic section does the equation below describe?
x^2+y^2+2x-8y-13=0
1 answer:
Answer: B) Circle
<u>Step-by-step explanation:</u>
First, complete the square:
x² + 2x + <u> 1 </u> + y² - 8y + <u> 16 </u> = 13 + <u> 1 </u> + <u> 16 </u>
↓ ↑ ↓ ↑
(2/2) = (1)² (-8/2) = (-4)²
(x + 1)² + (y - 4)² = 30
The result is a circle whose center is (-1, 4) and radius is √30
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