Question 1091246: The positive geometric mean of two numbers is 8, and the difference of the numbers is 30. Find the numbers. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the square root (2 numbers so square root) of their product is equal to 8
therefore the product is 64
a*b=64
a-b=30
a=b+30
substitute
(b+30)*b=64
b^2+30b-64=0
(b+32)(b-2)=0
b=-32 and b=2
a=-2 and a=32, want only the positive root.
the numbers are 2 and 32.
