Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Conic Sections
Hyperbola
Formulas
General form of a conic section Ax^2 + By^2 + Cx + Dy + E = 0
Completing the square
Theorems
Standard form of hyperbola
Completing the square theorem
Suitable Grade Level
Grades 10-12
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Hyperbola Equation: 25y² - 36x² + 150x - 216y = 1296
Converting General Form to Standard Form of an Ellipse
Completing the Square to Find the Standard Form of an Ellipse: x² + 16y² - 6x - 96y + 144 = 7
Convert General Form to Standard Form for Conic Section 3.4x^2 + 9y^2 - 32x - 36y + 64 = 0
Quadratic Equation and Ellipse: 49x^2 + 196x + 100y^2 + 1400y + 196