SOLUTION: Classify the conic section of each equation. 10. 25x2 - 9y2 = 144 11. x2 + y2 = 225 12. x2 + 3y2 = 3 13. 4x2 + 3x = y2 + 2y + 7

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Classify the conic section of each equation. 10. 25x2 - 9y2 = 144 11. x2 + y2 = 225 12. x2 + 3y2 = 3 13. 4x2 + 3x = y2 + 2y + 7       Log On


   

Question 751639: Classify the conic section of each equation.

10. 25x2 - 9y2 = 144





11. x2 + y2 = 225





12. x2 + 3y2 = 3





13. 4x2 + 3x = y2 + 2y + 7
Answer by solver91311(24713) About Me  (Show Source):
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Put the squared variables on the same side of the equation, then look at the coefficients.

If there is only one squared variable, then parabola.

If the coefficients are equal, then circle.

If the coefficients are unequal but the same sign, then ellipse.

If the coefficients are opposite signs, then hyperbola.

John

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