SOLUTION: Prove that x2-3y-2x+18y-35=0 represents a hyperbola and find its foci and directrix. I dont understand the question well so can you provide me a step by step method so I can solve

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Prove that x2-3y-2x+18y-35=0 represents a hyperbola and find its foci and directrix. I dont understand the question well so can you provide me a step by step method so I can solve      Log On


   

Question 1106277: Prove that x2-3y-2x+18y-35=0 represents a hyperbola and find its foci and directrix.
I dont understand the question well so can you provide me a step by step method so I can solve similar problems in the future?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is a standard problem for conic sections.

For ellipses, see the lessons
    - Ellipse definition, canonical equation, characteristic points and elements

    - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
    - Find the standard equation of an ellipse given by its elements

    - General equation of an ellipse
    - Transform a general equation of an ellipse to the standard form by completing the square
    - Identify elements of an ellipse given by its general equation
in this site.

For hyperbolas, see the similar lessons
    - Hyperbola definition, canonical equation, characteristic points and elements

    - Standard equation of a hyperbola
    - Identify elements of hyperbola given by its standard equation
    - Find the standard equation of a hyperbola given by its elements

    - General equation of a hyperbola
    - Transform general equation of a hyperbola to the standard form by completing the square
    - Identify elements of a hyperbola given by its general equation

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topics
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems" and
"Conic sections: Hyperbolas. Definition, major elements and properties. Solved problems".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.