Question

sgadi, what is the solution of this equation..
The product of two positive numbers is 16. Find the numbers if the sum is least.

Answer 1

the answer is 4,4 ..... but I am not able to get the proof

Answer 2

Thanks for the hwlkp.. haha

Answer 3

welcome

Answer 4

ok so you have two numbers x, y

x+ y = O BUT xy=16 where O is some number, and we want it to be a min
so you want to find an equation with one variable
since we know xy=16 so solve for x we get x = 16/y
then plug into the unknown we get 16/y+y = O
take the derivative and set equal to zero we get -16/y^2 + 1 = 0
solving for y you get y=+4, -4. since we are dealing with positive numbers, take y = 4. but then we need x. so you plug back into xy=16
4*x = 16 therefore x =4

Answer 5

thanks :-)

Answer 6

yeah i forgot how to give a "proof"

Answer 7

dude if you dont understand i can explain again if you need me to