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The equation, –2x2 + 5xy – 7y2 + 9x – 7y + 13 = 0, represents a conic.
What is the discriminant?
A) -51
B)-31
C)0
D) 11

What does the equation represents?
A) ellipse
B) parabola
C) hyperbola

Respuesta :

sqdancefan

9514 1404 393

Answer:

  B)  -31

  A)  ellipse

Step-by-step explanation:

In the form ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

The discriminant is ...

  B² -4AC

The interpretation is ...

  • < 0  ⇒  ellipse, possibly a circle
  • = 0  ⇒  parabola
  • > 0  ⇒  hyperbola

Any of the figures may be degenerate.

__

Here, the discriminant is ...

  5² -4(-2)(-7) = -31

The equation represents an ellipse.

Ver imagen sqdancefan

Answer:

see image below

Step-by-step explanation:

Ver imagen Arlett08

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