SOLUTION: One number is one-third of another. The difference of their squares is ¾. Find the numbers

Algebra ->  Rectangles -> SOLUTION: One number is one-third of another. The difference of their squares is ¾. Find the numbers      Log On


   

Question 674559: One number is one-third of another. The difference of their squares is ¾. Find the numbers
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
One number is one-third of another. The difference of their squares is ¾. Find the numbers
.
Let x = one number
then
x/3 = other number
.
x^2 - (x/3)^2 = 3/4
x^2 - x^2/9 = 3/4
multiplying both sides by 36:
36x^2 - 4x^2 = 27
32x^2 = 27
x^2 = 27/32
x = sqrt%2827%2F32%29
x = %283%2F4%29%2Asqrt%283%2F2%29
.
other number:
x/3 = %28%283%2F4%29%2Asqrt%283%2F2%29%29%2F3
x/3 = %281%2F4%29%2Asqrt%283%2F2%29