If the sum of 2 nos. is s find the minimum value of the sum of their squares..

Question

anonymous · Answer

nos?

anonymous · Answer

numbers

anonymous · Answer

x+y=s
minimize x^2+y^2?
graph

anonymous · Answer

x^2+y^2 = (x+y)^2 -2xy .... maximum value of this occurs when one of the x or y is zero and other is six....

In this case, x^2+y^2 =  (x+y)^2 = s^2

anonymous · Answer

i dont u are allowed to use calculus or not...so i use another method we have$$x+y=s$$so$$x^2+y^2=x^2+(s-x)^2=2x^2-2sx+s^2$$this is an upward quadratic since  (leading coefficient is positive) 
so the maximim value is $\infty$

but it would be a nice try if u find minimum value of $x^2+y^2$  if  $x+y=s$

anonymous · Answer

*i dont know

anonymous · Answer

oh the problem is finding minimum...sorry...so u just need to minimize$$y=2x^2-2sx+s^2$$

anonymous · Answer

Just use that in axx+bx+c=y, the minimum point on the graph is when x=-b/2a