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    sazzad07's Avatar
    sazzad07 Posts: 1, Reputation: 1
    New Member
     
    #1

    Jan 7, 2014, 11:43 PM
    quadratic equation need to solve
    There are these three quadratic equations:

    (x−x1)2+(y−y1)2+P1⋅h2=0 .. (1)

    (x−x2)2+(y−y2)2+P2⋅h2=0 .. (2)

    (x−x3)2+(y−y3)2+P3⋅h2=0 .. (3)

    where we know the values of x1,x2,x3,y1,y2,y3,P1,P2,P3.

    How can I find (x,y,h)?
    Curlyben's Avatar
    Curlyben Posts: 18,474, Reputation: 1857
    Admin & Wine Expert
     
    #2

    Jan 7, 2014, 11:51 PM
    What do YOU think ?
    While we're happy to HELP we wont do all the work for you.
    Show us what you have done and where you are having problems..
    ebaines's Avatar
    ebaines Posts: 12,130, Reputation: 1307
    Expert
     
    #3

    Jan 8, 2014, 05:51 AM
    Here's a hint to get you started: if you subtract the second equation from the first the x^2 and y^2 terms cancel, leaving a simple equation with unknowns x, y, and h. Do the same with equations 1 and 3 and equations 2 and 3 and you'll get three simultaneous equations in three unknowns, which you can solve the usual way.
    physic's Avatar
    physic Posts: 42, Reputation: 0
    Junior Member
     
    #4

    Jan 27, 2014, 07:55 PM
    http://en.wikipedia.org/wiki/Cramer's_rule Cramer's Rule

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