1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Equation of A Hyperbola

  1. Jul 15, 2010 #1
    1. The problem statement, all variables and given/known data
    Find an equation of the hyperbola with it's center at the origin.

    Foci:(8,0),(-8,0) Asymptotes: y=4x, y=-4x

    2. Relevant equations
    Equation for the asymptotes of a hyperbola with a horizontal transverse axis

    Equation for a hyperbola centered at (0,0) and having a horizontal transverse axis in standard form


    3. The attempt at a solution

    Ok, so I need to find a and b to write the equation.

    I can deduce from the information given that c=8 which is the distance from the center to a focus.

    Therefore I can declare that [tex]a^2+b^2=64[/tex] and from looking at the asymptotes I can also declare that [tex]\frac{b}{a}=4[/tex]. I dont know how to solve a system of equations with division in it. Is there something I am missing?
  2. jcsd
  3. Jul 15, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Put b = 4a from the second equation in the first equation and solve for a. Then solve for b.
  4. Jul 16, 2010 #3
    Ahh.. Yes.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook