
#1
Jun2006, 11:55 PM

P: 113

Hi Everbody,
I am a new member to this forum.I am from INDIA and studying in grade 12. I was struck in a question and need help.Hope someone could solve it. The question is to solve these simultaneous equations: √x + y = a  (i) x +√y = b  (ii) I have a few hints such as making a change in variable by introducing x = m^2 and y= n^2 and then doing some algebraic manipulations to get (mn)(1mn)=ab But I dunno know what to do next. Plz help. 



#2
Jun2106, 07:16 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,894





#3
Jul606, 08:45 PM

P: 218

sqrt(x)+y=a
Sqrt(y)+x=b I'd simply...use a substitution after working around w/ them sqrt(x)=ay sqrt(y)=bx x=a^2  2ay + y^2 y=b^2 2bx + x^2 And now...stick the x into the y= y=B^2 2b(a^2  2ay + y^2) + (a^2  2ay + y^2)^2 And algebrate. it's ugly but you can't dodge the forth power I don't think. SUbstitute y from both sides and you'll have the =0 


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