SOLUTION: calculus. Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?

Algebra ->  Trigonometry-basics -> SOLUTION: calculus. Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?       Log On


   

Question 856396: calculus. Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider two integers x and y such that x−y=12. What value of y will minimize x^2+y^2?
-----
Since y is squared, y = 0 will give a minimum value for y^2.
----
Since x-y = 12
y = x-12
----
y will be zero when x = 12.
---------------------------
Minimum value of x^2+y^2 is 12^2 = 144
----------------------
Cheers,
Stan H.