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zysi [14]
3 years ago
8

Which conic section does the equation below describe? x^2+y^2+2x-8y-13=0

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

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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