Question

find 2 positive real #s whose sum is 13, if the sum of their squares is a min

Answer 1

sum of their squares is ....................

Answer 2

a minimum

Answer 3

ok

Answer 4

6.5 again?

Answer 5

lools yeah nn can u do it using a quadratic equation .. step by step

Answer 6

a + b = 13
a^2 + b^2 is minimum.
=> a^2 + b^2 = 169 - 2ab
Also ab<169/4
Therefore for Minimum a^2 + b^2 we take maximum ab.
Which => a^2 + b^2 = 169/2
And (a - 13)^2 = 169/2 - a^2

Answer 7

Solve the quadratic to get two real values of x.
Oh and ab, 169/4 by AM>GM
a+b/2 > (ab)^1/2

Answer 8

* ab <(equalto) 169/4

Answer 9

i guess i kind get it.. thnxx

Answer 10

Haha. Anytime :)

Answer 11

=D