Register to reply 
Equationsystem problem 
Share this thread: 
#1
Mar2013, 04:19 PM

P: 2

My maths skills are so rusty that I can't figure out how I simplify these equations so that I get a formula for x and y... a,b,c,d,e,f are constants
y=[itex]\sqrt{b^{2}  (xf)^{2}}[/itex] + e x=[itex]\sqrt{a^{2}  (yc)^{2}}[/itex] + d Can anyone help me? And is this equationsystem even possible? 


#2
Mar2013, 04:26 PM

P: 905

If you subtract the constants from both sides and square both sides, you should be able to see that your equations can be graphed in the xyplane as the upper hemisphere of a circle of radius b centered at (f, e) and the upper hemisphere of a circle of radius a centered at (d, c). Whether these two curve segments intersect or not is up to the values of the constants.
To start, you can just use substitution: substitute your expression for y as a function of x into the second equation. 


#3
Mar2013, 04:31 PM

P: 2

I tried substituting y as a function of x into the second equation but I got an awfully complicated equation which I was unable to solve as I'm not that good at maths... :( Are you able to get a solution?



#4
Mar2013, 05:06 PM

Mentor
P: 41,303

Equationsystem problem
What are these equations from? 


#5
Mar2013, 06:40 PM

Engineering
Sci Advisor
HW Helper
Thanks
P: 7,284

If you square the first equation, you get
##(ye)^2 + (xf)^2 = b^2## If you draw a graph of that equation, what shape of curve do you get? (If you can't see the answer to that, start with the simpler case when e = f = 0). The easiest way to solve the two equations is using geometry, not algebra. 


Register to reply 
Related Discussions  
Special Ratio problem (not a math problem. It's the physic problem)!  Introductory Physics Homework  13  
General mathematics problem on time taken to fill tank with pipes ,problem is below  General Math  2  
Physics problem: Radial acceleration, forces, and work & energy problem  Introductory Physics Homework  13  
One Kinematic Problem, One Pendulum Problem, One Wave Problem  Introductory Physics Homework  7  
Classic E&M problem: point charge and a charged sphere, how to analyze this problem  Advanced Physics Homework  1 